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Journal articles on the topic 'Unbounded delay'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Tatar, Nasser-Eddine. "Exponential Decay for a System of Equations with Distributed Delays." Journal of Applied Mathematics 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/981383.

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We prove convergence of solutions to zero in an exponential manner for a system of ordinary differential equations. The feature of this work is that it deals with nonlinear non-Lipschitz and unbounded distributed delay terms involving non-Lipschitz and unbounded activation functions.

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2

Lu, Boliang, and Ruili Song. "Stability of a Class of Hybrid Neutral Stochastic Differential Equations with Unbounded Delay." Discrete Dynamics in Nature and Society 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/2941349.

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This paper studies the stability of hybrid neutral stochastic differential equations with unbounded delay. Some novel exponential stability criteria and boundedness conditions are established based on the generalized Itô formula and Lyapunov functions. The factor e-εδ(t) is used to overcome the difficulties caused by the unbounded delay δ(t) effectively. In particular, our results generalize and improve some previous stability results from bounded delay to unbounded delay conditions. Finally, an example is presented to demonstrate the effectiveness of the proposed results.

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3

Svoboda, Zdeněk. "Asymptotic properties of one differential equation with unbounded delay." Mathematica Bohemica 137, no. 2 (2012): 239–48. http://dx.doi.org/10.21136/mb.2012.142869.

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4

Guo, Heng, Jin Zhou, and Shuaibing Zhu. "The impact of inner-coupling and time delay on synchronization: From single-layer network to hypernetwork." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 11 (2022): 113135. http://dx.doi.org/10.1063/5.0091626.

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Though synchronization of complex dynamical systems has been widely studied in the past few decades, few studies pay attention to the impact of network parameters on synchronization in hypernetworks. In this paper, we focus on a specific hypernetwork model consisting of coupled Rössler oscillators and investigate the impact of inner-coupling and time delay on the synchronized region (SR). For the sake of simplicity, the inner-coupling matrix is chosen from three typical forms, which result in classical bounded, unbounded, and empty SR in a single-layer network, respectively. The impact of inne

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5

Baštinec, Jaromír, Leonid Berezansky, Josef Diblík, and Zdeněk Šmarda. "On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays." Abstract and Applied Analysis 2010 (2010): 1–20. http://dx.doi.org/10.1155/2010/417869.

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New nonoscillation and oscillation criteria are derived for scalar delay differential equations and and in the critical case including equations with several unbounded delays, without the usual assumption that the parameters and of the equations are continuous functions. These conditions improve and extend some known oscillation results in the critical case for delay differential equations.

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6

Kamont, Zdzisław, and Adam Nadolski. "Functional Differential Inequalities with Unbounded Delay." gmj 12, no. 2 (2005): 237–54. http://dx.doi.org/10.1515/gmj.2005.237.

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Abstract We prove that a function of several variables satisfying a functional differential inequality with unbounded delay can be estimated by a solution of a suitable initial problem for an ordinary functional differential equation. As a consequence of the comparison theorem we obtain a Perron-type uniqueness result and a result on continuous dependence of solutions on given functions for partial functional differential equations with unbounded delay. We consider classical solutions on the Haar pyramid.

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7

Wu, Fuke. "Unbounded delay stochastic functional Kolmogorov-type system." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 140, no. 6 (2010): 1309–34. http://dx.doi.org/10.1017/s0308210509000237.

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In general, population systems are often subject to environmental noise. To examine whether the presence of such noise affects these systems significantly, we perturb the functional Kolmogorov-type systeminto the stochastic functional differential equationWe show that different environmental noise structures have different effects on the population system with unbounded delay. Under two classes of different environmental noise perturbations, we establish existence theorems of the global positive solution to the unbounded delay stochastic functional Kolmogorov-type system. As the desired result

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8

Zong, Siheng, and Yu-Ping Tian. "Consensus of Multi-Agent Systems with Unbounded Time-Varying Delays." Applied Sciences 11, no. 11 (2021): 4944. http://dx.doi.org/10.3390/app11114944.

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In multi-agent systems with increasing communication distances, the communication delay is time-varying and unbounded. In this paper, we describe the multi-agent system with increasing communication distances as the discrete-time system with non-distributed unbounded time-varying delays and study the consensus problem of the system via the distributed control. This paper uses a time-delay system to model the discrete-time system, and the maximum delay in the time-delay system tends to infinity as time goes on. Furthermore, caused by this property, most of convergence analysis methods for bound

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9

Kamont, Z., and S. Kozieł. "Functional differential inequalities with unbounded delay." Annales Polonici Mathematici 88, no. 1 (2006): 19–37. http://dx.doi.org/10.4064/ap88-1-2.

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10

Ashyralyev, Allaberen, and Deniz Agirseven. "Bounded Solutions of Semilinear Time Delay Hyperbolic Differential and Difference Equations." Mathematics 7, no. 12 (2019): 1163. http://dx.doi.org/10.3390/math7121163.

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In this paper, we study the initial value problem for a semilinear delay hyperbolic equation in Hilbert spaces with a self-adjoint positive definite operator. The mean theorem on the existence and uniqueness of a bounded solution of this differential problem for a semilinear hyperbolic equation with unbounded time delay term is established. In applications, the existence and uniqueness of bounded solutions of four problems for semilinear hyperbolic equations with time delay in unbounded term are obtained. For the approximate solution of this abstract differential problem, the two-step differen

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11

Yao, Xin, Surong You, Wei Mao, and Xuerong Mao. "On the decay rate for a stochastic delay differential equation with an unbounded delay." Applied Mathematics Letters 166 (July 2025): 109541. https://doi.org/10.1016/j.aml.2025.109541.

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12

Sun, Yuangong. "Delay-Independent Stability of Switched Linear Systems with Unbounded Time-Varying Delays." Abstract and Applied Analysis 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/560897.

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This paper is focused on delay-independent stability analysis for a class of switched linear systems with time-varying delays that can be unbounded. When the switched system is not necessarily positive, we first establish a delay-independent stability criterion under arbitrary switching signal by using a new method that is different from the methods to positive systems in the literature. We also apply this method to a class of time-varying switched linear systems with mixed delays.

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13

Ren, Zhaolin, Zhengyuan Zhou, Linhai Qiu, Ajay Deshpande, and Jayant Kalagnanam. "Delay-Adaptive Distributed Stochastic Optimization." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 04 (2020): 5503–10. http://dx.doi.org/10.1609/aaai.v34i04.6001.

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In large-scale optimization problems, distributed asynchronous stochastic gradient descent (DASGD) is a commonly used algorithm. In most applications, there are often a large number of computing nodes asynchronously computing gradient information. As such, the gradient information received at a given iteration is often stale. In the presence of such delays, which can be unbounded, the convergence of DASGD is uncertain. The contribution of this paper is twofold. First, we propose a delay-adaptive variant of DASGD where we adjust each iteration's step-size based on the size of the delay, and pro

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14

APPLEBY, JOHN A. D. "DECAY AND GROWTH RATES OF SOLUTIONS OF SCALAR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY AND STATE DEPENDENT NOISE." Stochastics and Dynamics 05, no. 02 (2005): 133–47. http://dx.doi.org/10.1142/s0219493705001353.

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This paper studies the growth and decay rates of solutions of scalar stochastic delay differential equations of Itô type. The equations studied have a linear drift which contains an unbounded delay term, and a nonlinear diffusion term, which depends on the current state only. We show that when the nonlinearity at zero or infinity is sufficiently weak, the same non-exponential decay and growth rates found in the corresponding underlying linear deterministic equation are recovered, in an almost sure sense.

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15

Lu, Boliang, Quanxin Zhu, and Ping He. "Exponential Stability of Highly Nonlinear Hybrid Differently Structured Neutral Stochastic Differential Equations with Unbounded Delays." Fractal and Fractional 6, no. 7 (2022): 385. http://dx.doi.org/10.3390/fractalfract6070385.

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This paper mainly studies the exponential stability of the highly nonlinear hybrid neutral stochastic differential equations (NSDEs) with multiple unbounded time-dependent delays and different structures. We prove the existence and uniqueness of the exact global solution of the new stochastic system, and then give several criteria of the exponential stability, including the q1th moment and almost surely exponential stability. Additionally, some numerical examples are given to illustrate the main results. Such systems are widely applied in physics and other fields. For example, a specific case

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16

Di Blasio, Gabriella. "Delay differential equations with unbounded operators acting on delay terms." Nonlinear Analysis: Theory, Methods & Applications 52, no. 1 (2003): 1–18. http://dx.doi.org/10.1016/s0362-546x(01)00868-9.

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17

Feng, Nian, Ye Wu, Weiping Wang, Lin Zhang, and Jinghua Xiao. "Exponential Cluster Synchronization of Neural Networks with Proportional Delays." Mathematical Problems in Engineering 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/523424.

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Exponential cluster synchronization of neural networks with proportional delays is studied in this paper. Unlike previous constant delay or bounded time delay, we consider the time-varying proportional delay is unbounded, less conservative, and more widely applied. Furthermore, we designed a novel adaptive controller based on Lyapunov function and inequality technique to achieve exponential cluster synchronization for neural networks and by using a unique way of equivalent system we proved the main conclusions. Finally, an example is given to illustrate the effectiveness of our proposed method

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18

Yang, Xinsong, Mengzhe Zhou, and Jinde Cao. "Synchronization in Array of Coupled Neural Networks with Unbounded Distributed Delay and Limited Transmission Efficiency." Abstract and Applied Analysis 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/402031.

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This paper investigates global synchronization in an array of coupled neural networks with time-varying delays and unbounded distributed delays. In the coupled neural networks, limited transmission efficiency between coupled nodes, which makes the model more practical, is considered. Based on a novel integral inequality and the Lyapunov functional method, sufficient synchronization criteria are derived. The derived synchronization criteria are formulated by linear matrix inequalities (LMIs) and can be easily verified by using Matlab LMI Toolbox. It is displayed that, when some of the transmiss

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19

Kamont, Zdzisław. "Hyperbolic Functional-Differential Equations with Unbounded Delay." Zeitschrift für Analysis und ihre Anwendungen 18, no. 1 (1999): 97–109. http://dx.doi.org/10.4171/zaa/871.

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20

Rao, M. Rama Mohana, and S. Sivasundaram. "Asymptotic stability for equations with unbounded delay." Journal of Mathematical Analysis and Applications 131, no. 1 (1988): 97–105. http://dx.doi.org/10.1016/0022-247x(88)90192-8.

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21

Huy, Le Thi. "Asymptotic behavior of solutions to 3D Kelvin-Voigt-Brinkman-Forchheimer equations with unbounded delays." Electronic Journal of Differential Equations 2022, no. 01-87 (2022): 07. http://dx.doi.org/10.58997/ejde.2022.07.

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In this article we consider a 3D Kelvin Voigt Brinkman Forchheimer equations involving unbounded delays in a bounded domain \(\Omega \subset \mathbb{R}^3\). First, we show the existence and uniqueness of weak solutions by using the Galerkin approximations method and the energy method. Second, we prove the existence and uniqueness of stationary solutions by employing the Brouwer fixed point theorem. Finally, we study the stability of stationary solutions via the direct classical approach and the construction of a Lyapunov function. We also give a sufficient condition for the polynomial stabilit

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22

Liu, Yujiao, Xiaoxiao Wan, Enli Wu, Xinsong Yang, Fuad E. Alsaadi, and Tasawar Hayat. "Finite-time synchronization of Markovian neural networks with proportional delays and discontinuous activations." Nonlinear Analysis: Modelling and Control 23, no. 4 (2018): 515–32. http://dx.doi.org/10.15388/na.2018.4.4.

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In this paper, finite-time synchronization of neural networks (NNs) with discontinuous activation functions (DAFs), Markovian switching, and proportional delays is studied in the framework of Filippov solution. Since proportional delay is unbounded and different from infinite-time distributed delay and classical finite-time analytical techniques are not applicable anymore, new 1-norm analytical techniques are developed. Controllers with and without the sign function are designed to overcome the effects of the uncertainties induced by Filippov solutions and further synchronize the considered NN

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23

Wang, Weiping, Manman Yuan, Xiong Luo, Linlin Liu, and Yao Zhang. "Anti-synchronization control of BAM memristive neural networks with multiple proportional delays and stochastic perturbations." Modern Physics Letters B 32, no. 03 (2018): 1850028. http://dx.doi.org/10.1142/s0217984918500288.

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Proportional delay is a class of unbounded time-varying delay. A class of bidirectional associative memory (BAM) memristive neural networks with multiple proportional delays is concerned in this paper. First, we propose the model of BAM memristive neural networks with multiple proportional delays and stochastic perturbations. Furthermore, by choosing suitable nonlinear variable transformations, the BAM memristive neural networks with multiple proportional delays can be transformed into the BAM memristive neural networks with constant delays. Based on the drive-response system concept, differen

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24

Li, Xiaodi, and Jinde Cao. "An Impulsive Delay Inequality Involving Unbounded Time-Varying Delay and Applications." IEEE Transactions on Automatic Control 62, no. 7 (2017): 3618–25. http://dx.doi.org/10.1109/tac.2017.2669580.

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25

Domoshnitsky, Alexander. "About Asymptotic and Oscillation Properties of the Dirichlet Problem for Delay Partial Differential Equations." gmj 10, no. 3 (2003): 495–502. http://dx.doi.org/10.1515/gmj.2003.495.

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Abstract In this paper, oscillation and asymptotic properties of solutions of the Dirichlet boundary value problem for hyperbolic and parabolic equations are considered. We demonstrate that introducing an arbitrary constant delay essentially changes the above properties. For instance, the delay equation does not inherit the classical properties of the Dirichlet boundary value problem for the heat equation: the maximum principle is not valid, unbounded solutions appear while all solutions of the classical Dirichlet problem tend to zero at infinity, for “narrow enough zones” all solutions oscill

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26

Zhang, Pan, and Lan Huang. "Stability for a 3D Ladyzhenskaya fluid model with unbounded variable delay." Electronic Research Archive 31, no. 12 (2023): 7602–27. http://dx.doi.org/10.3934/era.2023384.

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<abstract><p>This paper is concerned with the stability of solutions to a Ladyzhenskaya fluid model with unbounded variable delay. We first prove the existence, uniqueness and regularity of global weak solutions to the Ladyzhenskaya model by using Galerkin approximations and the energy method based on some suitable assumptions about external forces. Then we obtain that the stationary solution is locally stable. Finally, we establish that the stationary solution has polynomial stability in a particular case of unbounded variable delay.</p></abstract>

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27

Meng, Xuejing, and Baojian Yin. "ON THE GENERAL DECAY STABILITY OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY." Journal of the Korean Mathematical Society 49, no. 3 (2012): 515–36. http://dx.doi.org/10.4134/jkms.2012.49.3.515.

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28

Hu, Yang Zi, Fu Ke Wu, and Cheng Ming Huang. "General decay pathwise stability of neutral stochastic differential equations with unbounded delay." Acta Mathematica Sinica, English Series 27, no. 11 (2011): 2153–68. http://dx.doi.org/10.1007/s10114-011-9456-5.

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29

ĈERMÁK, J. "On matrix differential equations with several unbounded delays." European Journal of Applied Mathematics 17, no. 4 (2006): 417–33. http://dx.doi.org/10.1017/s0956792506006590.

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The paper focuses on the matrix differential equation \[ \dot y(t)=A(t)y(t)+\sum_{j=1}^{m}B_j(t)y(\tau_j(t))+f(t),\quad t\in I=[t_0,\infty)\vspace*{-3pt} \] with continuous matrices $A$, $B_j$, a continuous vector $f$ and continuous delays $\tau_j$ satisfying $\tau_k\circ\tau_l =\tau_l\circ\tau_k$ on $I$ for any pair $\tau_k,\tau_l$. Assuming that the equation \[ \dot y(t)=A(t)y(t)\] is uniformly exponentially stable, we present some asymptotic bounds of solutions $y$ of the considered delay equation. A system of simultaneous Schröder equations is used to formulate these asymptotic bounds.

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30

Gil, Michael. "Delay-dependent stability conditions for delay differential equations with unbounded operators in Banach spaces." Electronic Journal of Differential Equations 2024, no. 01-?? (2024): 76. http://dx.doi.org/10.58997/ejde.2024.76.

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We consider the equation \(du(t)/dt=Au(t)+B u(t-h)\) where \(t>0\), \(h\) is a positive constant, and \(A\) is a linear unbounded and \(B\) is a linear bounded operators. We establish explicit delay-dependent conditions for exponential stability, and present applications to partial integro-differential equations with delay. For more information see https://ejde.math.txstate.edu/Volumes/2024/76/abstr.html

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31

Nadolski, Adam. "Hamilton–Jacobi functional differential equations with unbounded delay." Annales Polonici Mathematici 82, no. 2 (2003): 105–26. http://dx.doi.org/10.4064/ap82-2-2.

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32

Wu, Fuke, and Yangzi Hu. "Stochastic Lotka-Volterra system with unbounded distributed delay." Discrete & Continuous Dynamical Systems - B 14, no. 1 (2010): 275–88. http://dx.doi.org/10.3934/dcdsb.2010.14.275.

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33

Burton, Theodore, and Alfredo Somolinos. "Asymptotic stability in differential equations with unbounded delay." Electronic Journal of Qualitative Theory of Differential Equations, no. 13 (1999): 1–19. http://dx.doi.org/10.14232/ejqtde.1999.1.13.

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34

Zhang, B. G., and Chuan Jun Tian. "Oscillation criteria for difference equations with unbounded delay." Computers & Mathematics with Applications 35, no. 4 (1998): 19–26. http://dx.doi.org/10.1016/s0898-1221(97)00286-1.

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35

Rao, M. Rama Mohana, and V. N. Pal. "Asymptotic stability of grazing systems with unbounded delay." Journal of Mathematical Analysis and Applications 163, no. 1 (1992): 60–72. http://dx.doi.org/10.1016/0022-247x(92)90277-k.

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36

Tudor, Constantin. "On Stochastic Functional-Differential Equations with Unbounded Delay." SIAM Journal on Mathematical Analysis 18, no. 6 (1987): 1716–25. http://dx.doi.org/10.1137/0518123.

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37

Zhang, Xing, and Mengmeng Li. "Existence and Ulam-Type Stability for Fractional Multi-Delay Differential Systems." Fractal and Fractional 9, no. 5 (2025): 288. https://doi.org/10.3390/fractalfract9050288.

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Fractional multi-delay differential systems, as an important mathematical model, can effectively describe viscoelastic materials and non-local delay responses in ecosystem population dynamics. It has a wide and profound application background in interdisciplinary fields such as physics, biomedicine, and intelligent control. Through literature review and classification, it is evident that for the fractional multi-delay differential system, the existence and uniqueness of the solution and Ulam-Hyers stability (UHS), Ulam-Hyers-Rassias stability (UHRS) of the fractional multi-delay differential s

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38

Wiener, Joseph, and Lokenath Debnath. "A parabolic differential equation with unbounded piecewise constant delay." International Journal of Mathematics and Mathematical Sciences 15, no. 2 (1992): 339–46. http://dx.doi.org/10.1155/s0161171292000425.

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39

Jadlovská, Irena, George E. Chatzarakis, and Ercan Tunç. "Kneser-type oscillation theorems for second-order functional differential equations with unbounded neutral coefficients." Mathematica Slovaca 74, no. 3 (2024): 637–64. http://dx.doi.org/10.1515/ms-2024-0049.

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Abstract In this paper, we initiate the study of asymptotic and oscillatory properties of solutions to second-order functional differential equations with noncanonical operators and unbounded neutral coefficients, using a recent method of iteratively improved monotonicity properties of nonoscillatory solutions. Our results rely on ideas that essentially improve standard techniques for the investigation of differential equations with unbounded neutral terms with delay or advanced argument. The core of the method is presented in a form that suggests further generalizations for higher-order diffe

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40

Wang, Fa Xing, and Ying Zheng. "Alternative Method of Progressive Eigenvalue of the Unbounded Jacobi Matrix." Applied Mechanics and Materials 543-547 (March 2014): 846–49. http://dx.doi.org/10.4028/www.scientific.net/amm.543-547.846.

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This article introduces the alternative principle of progressive characteristic of unbounded Jacobi matrix into the process of automatic control of circuit which makes the feedback signal of control circuit has two different delay characteristics using unbounded Jacobi matrix. It also adds the weight of transconductance unit. The voltage signal can output smoothly which reduces the oscillation of the circuit and improves the accuracy of the circuits automatic control. This paper studies the control role of unbounded Jacobi matrix on the circuit using experimental method and gets the I / V curv

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41

Becker, L. C., and T. A. Burton. "Asymptotic stability criteria for delay-differential equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 110, no. 1-2 (1988): 31–44. http://dx.doi.org/10.1017/s0308210500024835.

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SynopsisThis paper is concerned with the problem of showing uniform stability and equiasymptotic stability of thezero solution of functional differential equations with either finite or infinite delay. The investigations are based on Liapunov's direct method and attention is focused on those equations whose right-hand sides are unbounded for bounded state variables.

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42

Choi, Sung Kyu, Yoon Hoe Goo, Dong Man Im, and Namjip Koo. "Total Stability in Nonlinear Discrete Volterra Equations with Unbounded Delay." Abstract and Applied Analysis 2009 (2009): 1–13. http://dx.doi.org/10.1155/2009/976369.

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43

Zhang, Jiye. "Absolute stability analysis in cellular neural networks with variable delays and unbounded delay." Computers & Mathematics with Applications 47, no. 2-3 (2004): 183–94. http://dx.doi.org/10.1016/s0898-1221(04)90015-6.

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44

Yoneyama, Toshiaki. "The 32 stability theorem for one-dimensional delay-differential equations with unbounded delay." Journal of Mathematical Analysis and Applications 165, no. 1 (1992): 133–43. http://dx.doi.org/10.1016/0022-247x(92)90071-k.

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45

Liang, Jin, James H. Liu, Ti-Jun Xiao, and Hong-Kun Xu. "Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces." Analysis and Applications 15, no. 04 (2015): 457–75. http://dx.doi.org/10.1142/s0219530515500281.

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In this paper, we are concerned with the periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations with periodic inhomogenous terms in Banach spaces, where the operators in the linear part (possibly unbounded) depend on the time [Formula: see text] and generate an evolution family of linear operators. We first establish two new Gronwall–Bellman-type inequalities, and then prove a new and general existence theorem for periodic mild solutions to the nonautonomous impulsive delay evolution equations, which extends essentially some existing results even f

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46

Park, Jong Yeoul, and Sang Nam Kang. "Approximate controllability of neutral functional differential system with unbounded delay." International Journal of Mathematics and Mathematical Sciences 26, no. 12 (2001): 737–44. http://dx.doi.org/10.1155/s016117120100597x.

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We consider a class of control systems governed by the neutral functional differential equation with unbounded delay and study the approximate controllability of the system. An example is given to illustrate the result.

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47

Ashyralyev, Allaberen, and Deniz Agirseven. "Stability of delay parabolic difference equations." Filomat 28, no. 5 (2014): 995–1006. http://dx.doi.org/10.2298/fil1405995a.

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In the present paper, the stability of difference schemes for the approximate solution of the initial value problem for delay differential equations with unbounded operators acting on delay terms in an arbitrary Banach space is studied. Theorems on stability of these difference schemes in fractional spaces are established. In practice, the stability estimates in H?lder norms for the solutions of difference schemes for the approximate solutions of the mixed problems for delay parabolic equations are obtained.

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48

Kamont, Z., and S. Kozieł. "First Order Partial Functional Differential Equations with Unbounded Delay." gmj 10, no. 3 (2003): 509–30. http://dx.doi.org/10.1515/gmj.2003.509.

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Abstract The phase space for nonlinear hyperbolic functional differential equations with unbounded delay is constructed. The set of axioms for generalized solutions of initial problems is presented. A theorem on the existence and continuous dependence upon initial data is given. The Cauchy problem is transformed into a system of integral functional equations. The existence of solutions of this system is proved by the method of successive approximations and by using theorems on integral inequalities. Examples of phase spaces are given.

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49

Wenlong Sun. "MICROPOLAR FLUID FLOWS WITH DELAY ON 2D UNBOUNDED DOMAINS." Journal of Applied Analysis & Computation 8, no. 1 (2018): 356–78. http://dx.doi.org/10.11948/2018.356.

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50

Qiu, Wenbin, Ratnesh Kumar, and Shengbing Jiang. "On Decidability of Distributed Diagnosis Under Unbounded-Delay Communication." IEEE Transactions on Automatic Control 52, no. 1 (2007): 114–16. http://dx.doi.org/10.1109/tac.2006.886540.

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