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Relevant bibliographies by topics / Integral delay equations

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Academic literature on the topic 'Integral delay equations'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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Journal articles on the topic "Integral delay equations"

1

Burton, T. A. "Integral equations with a delay." Acta Mathematica Hungarica 72, no. 3 (1996): 233–42. http://dx.doi.org/10.1007/bf00050686.

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Gilsinn, David E., and Florian A. Potra. "Integral Operators and Delay Differential Equations." Journal of Integral Equations and Applications 18, no. 3 (2006): 297–336. http://dx.doi.org/10.1216/jiea/1181075393.

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Li, Xiaoxuan. "Volterra Integral Equations with Vanishing Delay." Applied and Computational Mathematics 4, no. 3 (2015): 152. http://dx.doi.org/10.11648/j.acm.20150403.18.

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Karakostas, George, I. P. Stavroulakis, and Yumei Wu. "Oscillations of Volterra integral equations with delay." Tohoku Mathematical Journal 45, no. 4 (1993): 583–605. http://dx.doi.org/10.2748/tmj/1178225851.

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Xu, Dao Yi. "Integro-differential equations and delay integral inequalities." Tohoku Mathematical Journal 44, no. 3 (1992): 365–78. http://dx.doi.org/10.2748/tmj/1178227303.

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Melchor-Aguilar, Daniel, Vladimir Kharitonov, and Rogelio Lozano. "Lyapunov-Krasovskii functionals for integral delay equations." IFAC Proceedings Volumes 36, no. 19 (2003): 23–28. http://dx.doi.org/10.1016/s1474-6670(17)33296-2.

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Yatsenko, Yuri. "Volterra integral equations with unknown delay time." Methods and Applications of Analysis 2, no. 4 (1995): 408–19. http://dx.doi.org/10.4310/maa.1995.v2.n4.a3.

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BRUNNER, H. "Fully Discrete Galerkin Method For Fredholm Integro-Differential Equations With Weakly Singular Kernels." Computational Methods in Applied Mathematics 8, no. 3 (2008): 207–22. http://dx.doi.org/10.2478/cmam-2008-0015.

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AbstractWe analyze the optimal superconvergence properties of piecewise polynomial collocation solutions on uniform meshes for Volterra integral and integrodifferential equations with multiple (vanishing) proportional delays. It is shown that for delay integro-differential equations the recently obtained optimal order is also attainable. For integral equations with multiple vanishing delays this is no longer true.

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Liang, Jin, and Ti-Jun Xiao. "Solutions to abstract integral equations and infinite delay evolution equations." Bulletin of the Belgian Mathematical Society - Simon Stevin 18, no. 5 (2011): 793–804. http://dx.doi.org/10.36045/bbms/1323787167.

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El-Sayed, Ahmed M. A., and Yasmin M. Y. Omar. "Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation." Demonstratio Mathematica 54, no. 1 (2021): 25–36. http://dx.doi.org/10.1515/dema-2021-0003.

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Abstract In this work, we study the existence of one and exactly one solution x ∈ C [ 0 , 1 ] x\in C\left[0,1] , for a delay quadratic integral equation of Volterra-Stieltjes type. As special cases we study a delay quadratic integral equation of fractional order and a Chandrasekhar cubic integral equation.

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Dissertations / Theses on the topic "Integral delay equations"

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Berntson, B. K. "Integrable delay-differential equations." Thesis, University College London (University of London), 2017. http://discovery.ucl.ac.uk/1566618/.

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Delay-differential equations are differential-difference equations in which the derivatives and shifts are taken with respect to the same variable. This thesis is concerned with these equations from the perspective of the theory of integrable systems, and more specifically, Painlevé equations. Both the classical Painlevé equations and their discrete analogues can be obtained as deautonomizations of equations solved by two-parameter families of elliptic functions. In analogy with this paradigm, we consider autonomous delay-differential equations solved by elliptic functions, delay-differentia

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Rocha, Eugénio Alexandre Miguel. "Uma Abordagem Algébrica à Teoria de Controlo Não Linear." Doctoral thesis, Universidade de Aveiro, 2003. http://hdl.handle.net/10773/21444.

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Doutoramento em Matemática<br>Nesta tese de Doutoramento desenvolve-se principalmente uma abordagem algébrica à teoria de sistemas de controlo não lineares. No entanto, outros tópicos são também estudados. Os tópicos tratados são os seguidamente enunciados: fórmulas para sistemas de controlo sobre álgebras de Lie livres, estabilidade de um sistema de corpos rolantes, algoritmos para aritmética digital, e equações integrais de Fredholm não lineares. No primeiro e principal tópico estudam-se representações para as soluções de sistemas de controlo lineares no controlo. As suas trajetórias

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Adamík, Pavel. "Řízení dynamických systémů v reálném čase." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2009. http://www.nusl.cz/ntk/nusl-236759.

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This thesis focuses on the methodology of controlling dynamic systems in real time. It contents a review of the control theory basis and the elementary base of regulators construction. Then the list of matemathic formulaes follows as well as the math basis for the system simulations using a difeerential count and the problem of difeerential equations solving. Furthermore, there is a systematic approach to the design of general regulator enclosed, using modern simulation techniques. After the results confirmation in the Matlab system, the problematics of transport delay & quantization modelling

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LI, ZHONG-FEN, and 李中芬. "Oscillations of delay Volterra- Stieltjes integral equations." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/26684478027150829980.

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Lamzouri, Youness. "Sur la distribution des valeurs de la fonction zêta de Riemann et des fonctions L au bord de la bande critque." Thèse, 2009. http://hdl.handle.net/1866/6626.

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Books on the topic "Integral delay equations"

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Morawetz, Klaus. Classical Kinetic Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0003.

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The classical non-ideal gas shows that the two original concepts of the pressure based of the motion and the forces have eventually developed into drift and dissipation contributions. Collisions of realistic particles are nonlocal and non-instant. A collision delay characterizes the effective duration of collisions, and three displacements, describe its effective non-locality. Consequently, the scattering integral of kinetic equation is nonlocal and non-instant. The non-instant and nonlocal corrections to the scattering integral directly result in the virial corrections to the equation of stat

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Morawetz, Klaus. Properties of Non-Instant and Nonlocal Corrections. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0014.

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The derived nonlocal and non-instant shifts are discussed with respect to various symmetries and gauges. The classical counterparts are derived and found in agreement with the expected phenomenological ones from chapter 3. The explicit forms of the hard-sphere like offsets and the delay time in terms of the scattering phase shifts are calculated and discussed on the example of nuclear collision. The numerical results reveal an interesting inside into the microscopic correlations developed in dependence on the scattering angle and scattering energy. The just-accomplished derivation of the nonlo

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Koch, Christof. Biophysics of Computation. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195104912.001.0001.

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Neural network research often builds on the fiction that neurons are simple linear threshold units, completely neglecting the highly dynamic and complex nature of synapses, dendrites, and voltage-dependent ionic currents. Biophysics of Computation: Information Processing in Single Neurons challenges this notion, using richly detailed experimental and theoretical findings from cellular biophysics to explain the repertoire of computational functions available to single neurons. The author shows how individual nerve cells can multiply, integrate, or delay synaptic inputs and how information can b

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Book chapters on the topic "Integral delay equations"

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Karafyllis, Iasson, and Miroslav Krstic. "Systems Described by Integral Delay Equations." In Predictor Feedback for Delay Systems: Implementations and Approximations. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-42378-4_7.

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Lunel, Sjoerd M. Verduyn. "Spectral theory for delay equations." In Systems, Approximation, Singular Integral Operators, and Related Topics. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8362-7_19.

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Agarwal, Ravi P., Donal O’Regan, and Patricia J. Y. Wong. "Delay Boundary Value Problems." In Positive Solutions of Differential, Difference and Integral Equations. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-015-9171-3_10.

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Ignatyev, Alexander O. "Asymptotic Stability in Functional Differential Equations with Delay." In Integral Methods in Science and Engineering. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8184-5_17.

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Bresch-Pietri, Delphine, and Nicolas Petit. "Implicit Integral Equations for Modeling Systems with a Transport Delay." In Recent Results on Time-Delay Systems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-26369-4_1.

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Duman, Oktay. "Error Estimation for Approximate Solutions of Delay Volterra Integral Equations." In Frontiers in Functional Equations and Analytic Inequalities. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28950-8_29.

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Castro, L. P., and A. Ramos. "Hyers–Ulam and Hyers–Ulam–Rassias Stability of Volterra Integral Equations with Delay." In Integral Methods in Science and Engineering, Volume 1. Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4899-2_9.

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Grigoriev, Yurii N., Nail H. Ibragimov, Vladimir F. Kovalev, and Sergey V. Meleshko. "Delay Differential Equations." In Symmetries of Integro-Differential Equations. Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-3797-8_6.

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Rajiv Ganthi, C., and P. Muthukumar. "Approximate Controllability of Fractional Stochastic Integral Equation with Finite Delays in Hilbert Spaces." In Mathematical Modelling and Scientific Computation. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28926-2_32.

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"Volterra Integral Processes with Delay: Necessary Optimality Conditions." In Volterra Equations and Applications. CRC Press, 2000. http://dx.doi.org/10.1201/9781482287424-55.

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Conference papers on the topic "Integral delay equations"

1

Li, Hongfei, and Lijun Zhang. "Stability of Difference-Integral Delay Equations." In 2020 39th Chinese Control Conference (CCC). IEEE, 2020. http://dx.doi.org/10.23919/ccc50068.2020.9188694.

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Yuanqu Lin and Daniel S. Weile. "Finite difference delay modeling for two-dimenisional time domain integral equations." In 2009 IEEE Antennas and Propagation Society International Symposium (APSURSI). IEEE, 2009. http://dx.doi.org/10.1109/aps.2009.5171923.

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Rezounenko, Alexander. "Stability of positive solutions of local partial differential equations with a nonlinear integral delay term." In The 8'th Colloquium on the Qualitative Theory of Differential Equations. Bolyai Institute, SZTE, 2007. http://dx.doi.org/10.14232/ejqtde.2007.7.17.

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Fofana, M. S. "A Unified Framework for the Study of Periodic Solutions of Nonlinear Delay Differential Equations." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21617.

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Abstract Periodic solutions of delay differential equations (DDEs) splitting into stable and unstable branches are examined in an infinite-dimensional space for fixed and multiple time delays. The center manifold theorem and the classical Hopf bifurcation theorem for the study of periodic solutions of ordinary differential equations (ODEs) are employed to reduce the infinite-dimensional character of the DDEs to finite-dimensional ODEs. Using integral averaging method, the vector field of the ODEs is converted and averaged into amplitude a and phase φ relations. From these relations bifurcation

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Ren, Chuanbo, and Xiangtao Tian. "Solution for Dynamics Equations of Control Systems with Time-delay by Precise Integral Algorithm." In Sixth International Conference on Intelligent Systems Design and Applications. IEEE, 2006. http://dx.doi.org/10.1109/isda.2006.253823.

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Manjuram, R., and V. Muthulakshmi. "Oscillatory behavior of damped second-order nonlinear delay differential equations with riemann-stieltjes integral." In PROCEEDINGS OF INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS RESEARCH (ICAMR - 2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0017693.

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Butcher, Eric A., Haitao Ma, Ed Bueler, Victoria Averina, and Zsolt Szabo. "Stability Analysis of Parametrically Excited Systems With Time-Delay." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48574.

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This paper presents a new technique for studying the stability properties of parametrically excited dynamic systems with time delay modeled by delay-differential equations (DDEs) with time-periodic parameters. By employing a shifted Chebyshev polynomial approximation in each time interval with length equal to the delay period, the dynamic system can be reduced to a set of linear difference equations for the Chebyshev expansion coefficients of the state vector in the previous and current intervals. This defines a linear map which is the “infinite-dimensional Floquet transition matrix U”. Two di

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Xiaobo Wang and D. S. Weile. "Finite difference delay modeling with runge-kutta methods for the discretization of time domain integral equations." In 2010 IEEE International Symposium Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting. IEEE, 2010. http://dx.doi.org/10.1109/aps.2010.5561956.

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Weile, D. S. "A hybrid galerkin/finite difference delay modeling method for the time domain integral equations of electromagnetics." In 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2013. http://dx.doi.org/10.1109/iceaa.2013.6632224.

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Xiaobo Wang, Daniel S. Weile, and Peter Monk. "A finite difference delay estimation approach to the discretization of the time domain integral equations of electromagnetics." In 2007 IEEE Antennas and Propagation Society International Symposium. IEEE, 2007. http://dx.doi.org/10.1109/aps.2007.4396562.

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