Relevant bibliographies by topics / Integral Solutions

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Integral Solutions'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Integral Solutions"

1

Bellour, Azzeddine, Mahmoud Bousselsal, and Mohamed-Aziz Taoudi. "Integrable solutions of a nonlinear integral equation related to some epidemic models." Glasnik Matematicki 49, no. 2 (2014): 395–406. http://dx.doi.org/10.3336/gm.49.2.12.

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Hartmann, Friedel. "Fe-solutions are integral solutions." Communications in Applied Numerical Methods 3, no. 6 (1987): 483–84. http://dx.doi.org/10.1002/cnm.1630030607.

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Dhage, Bapurao, Janhavi Dhage, and Shyam Dhage. "On existence of extremal integrable solutions and integral inequalities for nonlinear Volterra type integral equations." Malaya Journal of Matematik 12, no. 03 (2024): 245–52. http://dx.doi.org/10.26637/mjm1203/002.

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We prove the existence of maximal and minimal integrable solutions of nonlinear Volterra type integral equations. Two basic integral inequalities are obtained in the form of extremal integrable solutions which are further exploited for proving the boundedness and uniqueness of the integrable solutions of the considered integral equation.
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B. Dhage, Janhavi, Shyam B. Dhage, and Bapurao C. Dhage. "ON EXISTENCE OF EXTREMAL INTEGRABLE SOLUTIONS AND INTEGRAL INEQUALITIES FOR NONLINEAR URYSOHN TYPE INTEGRAL EQUATIONS." jnanabha 54, no. 02 (2024): 300–305. https://doi.org/10.58250/jnanabha.2024.54230.

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We prove the existence of maximal and minimal integrable solutions of nonlinear Urysohn type integral equations. Two basic integral inequalities are obtained in the form of extremal integrable solutions which are further exploited for proving the boundedness and uniqueness of the integrable solutions of the considered integral equation.
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Banaś, Józef. "Integrable solutions of Hammerstein and Urysohn integral equations." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 46, no. 1 (1989): 61–68. http://dx.doi.org/10.1017/s1446788700030378.

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AbstractIn this paper we prove theorems on the existence of integrable and monotonic solutions of Hammserstein and Urysohn integral equations. The basic tool used in the proof is the fixed point principle for contractions with respect to the so-called measure of weak noncompactness.
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CUBIOTTI, PAOLO. "Integrable solutions of highly discontinuous implicit functional-integral equations." Optimization Eruditorum 1, no. 2 (2024): 75–87. https://doi.org/10.69829/oper-024-0102-ta01.

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Balachandran, K., and S. Ilamaran. "A note on integrable solutions of Hammerstein integral equations." Proceedings of the Indian Academy of Sciences - Section A 105, no. 1 (1995): 99–103. http://dx.doi.org/10.1007/bf02840593.

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Cichoń, Mieczysław, and Mohamed M. A. Metwali. "On Monotonic Integrable Solutions for Quadratic Functional Integral Equations." Mediterranean Journal of Mathematics 10, no. 2 (2012): 909–26. http://dx.doi.org/10.1007/s00009-012-0218-0.

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Shadimetov, Kh M., and D. M. Akhmedov. "An optimal approximate solution of the I kind Fredholm singular integral equations." Filomat 38, no. 30 (2024): 10765–96. https://doi.org/10.2298/fil2430765s.

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In this work, we study the problem of profile and lattice profile in aerodynamics. The first kind of Fredholm singular integral equation solves this problem. The Cauchy-type singular integrals are solutions to the first kind of Fredholm singular integral equation. However, the antiderivative function of these singular integrals can only be found in some cases. To overcome this, we utilize the Sobolev method to create an optimal quadrature formula for Cauchy-type singular integrals. By doing so, we can approximately solve the Fredholm integral equation of type I with higher accuracy. We compare
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Kolodii, A. M. "Continuous solutions of volterra integral equations with curvilinear stochastic integrals." Journal of Soviet Mathematics 67, no. 4 (1993): 3187–96. http://dx.doi.org/10.1007/bf01261276.

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Dissertations / Theses on the topic "Integral Solutions"

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Cuminato, José Alberto. "Numerical solutions of Cauchy integral equations and applications." Thesis, University of Oxford, 1987. http://ora.ox.ac.uk/objects/uuid:434954bb-bf08-448b-9e02-9948d1287e37.

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This thesis investigates the polynomial collocation method for the numerical solution of Cauchy type integral equations and the use of those equations and the related numerical techniques to solve two practical problem in Acoustics and Aerodynamics. Chapters I and II include the basic background material required for the development of the main body of the thesis. Chapter I discusses a number of practical problems which can be modelled as a singular integral equations. In Chapter II the theory of those equations is given in great detail. In Chapter III the polynomial collocation method for sin
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Houghton, Samuel. "Integral-Based Inverse Problem Solutions for DIET Systems." Thesis, University of Canterbury. Mechanical Engineering, 2007. http://hdl.handle.net/10092/1138.

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Magnetic Resonance Elastography (MRE) is an emerging method for non-invasive breast cancer screening. It takes the MRI displacement data output and reconstructs the internal stiffness distribution, where cancerous tissue is approximately five to ten times stiffer than healthy breast tissue. Hence, MRE offers a high contrast solution to this diagnostic problem. Current MRE methods for reconstructing stiffness use forward simulation based optimization methods that are highly non-linear, non-convex and very heavy computationally. This research develops integral-based inverse problem solutions
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Houghton, Samuel John. "Integral-based inverse problem solutions for DIET systems." Thesis, University of Canterbury. Mechanical Engineering, 2006. http://hdl.handle.net/10092/6614.

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Magnetic Resonance Elastography (MRE) is an emerging method for non-invasive breast cancer screening. It takes the MRI displacement data output and reconstructs the internal stiffness distribution, where cancerous tissue is approximately five to ten times stiffer than healthy breast tissue. Hence, MRE offers a high contrast solution to this diagnostic problem. Current MRE methods for reconstructing stiffness use forward simulation based optimization methods that are highly non-linear, non-convex and very heavy computationally. This research develops integral-based inverse problem solutions tha
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Lee, June-Bok. "Integral solutions in arithmetic progression for elliptic curves." Diss., The University of Arizona, 1991. http://hdl.handle.net/10150/185436.

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Integral solutions to y² = X³ + k, where either the x's or the y's, or both, are in arithmetic progression are studied. When both the x's and the y's are in arithmetic progression, then this situation is completely solved. One set of solutions where the y's formed an arithmetic progression of length 4 have already been constructed. In this dissertation, we construct infinitely many set of solutions where there are 4 x's in arithmetic progression and we also disprove Mohanty's Conjecture[8] by constructing infinitely many set of solutions where there are 4, 5 and 6 y's in arithmetic progression
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Hibbs, T. T. "C'('1') continuous representations and advanced singular kernal integrations in the three dimensional boundary integral method." Thesis, Teesside University, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.384606.

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Sipiläinen, Eeva-Maria. "Pathwise view on solutions of stochastic differential equations." Thesis, University of Edinburgh, 1993. http://hdl.handle.net/1842/8202.

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The Ito-Stratonovich theory of stochastic integration and stochastic differential equations has several shortcomings, especially when it comes to existence and consistency with the theory of Lebesque-Stieltjes integration and ordinary differential equations. An attempt is made firstly, to isolate the path property, possessed by almost all Brownian paths, that makes the stochastic theory of integration work. Secondly, to construct a new concept of solutions for differential equations, which would have the required consistency and continuity properties, within a class of deterministic noise func
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Sockell, Michael Elliot. "Similarity solutions of stochastic nonlinear parabolic equations." Diss., Virginia Polytechnic Institute and State University, 1987. http://hdl.handle.net/10919/49898.

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A novel statistical technique introduced by Besieris is used to study solutions of the nonlinear stochastic complex parabolic equation in the presence of two profiles. Specifically, the randomly modulated linear potential and the randomly perturbed quadratic focusing medium. In the former, a class of solutions is shown to admit an exact statistical description in terms of the moments of the wave function. In the latter, all even-order moments are computed exactly, whereas the odd-order moments are solved asymptotically. Lastly, it is shown that this statistical technique is isomorphic to mappi
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Svensson, Anders. "Path Integral for the Hydrogen Atom : Solutions in two and three dimensions." Thesis, Karlstads universitet, Institutionen för ingenjörsvetenskap och fysik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-44425.

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The path integral formulation of quantum mechanics generalizes the action principle of classical mechanics. The Feynman path integral is, roughly speaking, a sum over all possible paths that a particle can take between fixed endpoints, where each path contributes to the sum by a phase factor involving the action for the path. The resulting sum gives the probability amplitude of propagation between the two endpoints, a quantity called the propagator. Solutions of the Feynman path integral formula exist, however, only for a small number of simple systems, and modifications need to be made when d
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Tenwick, Michelle Claire. "Error estimates for numerical solutions of one- and two-dimensional integral equations." Thesis, University of Leeds, 2012. http://etheses.whiterose.ac.uk/3405/.

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This thesis is concerned with the improvement of numerical methods, specifically boundaryelement methods (BEMs), for solving Fredholm integral equations in both one- and two dimensions. The improvements are based on novel (computer-algebra-based) error analyses that yield explicit forms of correction terms for a priori incorporation into BEM methods employing piecewise-polynomial interpolation in the numerical approximation. The work is motivated by the aim of reducing errors of BEM methods for low-degree interpolating polynomials, without significantly increasing the computational cost associ
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Sagheer, Muhammad. "Mathematical analysis and numerical solutions of an integral equation arising from population dynamics." Thesis, University of Sussex, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.420495.

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Books on the topic "Integral Solutions"

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Hackbusch, W. Integral equations: Theory and numerical treatment. Birkhauser Verlag, 1995.

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Jerri, Abdul J. Introduction to integral equations with applications. Dekker, 1985.

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Morita, N. Integral equation methods for electromagnetics. Artech House, 1990.

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Constanda, Christian, Dale Doty, and William Hamill. Boundary Integral Equation Methods and Numerical Solutions. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-26309-0.

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Zolotarevskiĭ, V. A. Konechnomernye metody reshenii͡a︡ singuli͡a︡rnykh integralʹnykh uravneniĭ na zamknutykh konturakh integrirovanii͡a︡. "Shtiint͡s︡a", 1991.

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Hackbusch, W. Integralgleichungen: Theorie und Numerik. B.G. Teubner, 1989.

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A, Golberg Michael, ed. Numerical solution of integral equations. Plenum Press, 1990.

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8

N, Poltavskiĭ L., and Vaĭnikko G, eds. Hypersingular integral equations and their applications. Chapman & Hall/CRC, 2004.

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Hannelore, Kress-Adams, and Kress & Adams., eds. Lichträume: Integrale Lichtlösungen von Kress & Adams = Light spaces : integral solutions by Kress & Adams. Birkhäuser, 2003.

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Hannelore, Kress-Adams, ed. Lichträume: Integrale Lichtlösungen von Kress & Adams = Light spaces : integral solutions by Kress & Adams. Birkhäuser, 2003.

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Book chapters on the topic "Integral Solutions"

1

Birken, Philipp. "Integral Domains." In Student Solutions Manual, 10th ed. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003182306-14.

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Birken, Philipp. "Divisibility in Integral Domains." In Student Solutions Manual, 10th ed. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003182306-19.

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"Integral Solutions." In Asymptotic Analysis of Differential Equations. IMPERIAL COLLEGE PRESS, 2010. http://dx.doi.org/10.1142/9781848166097_0009.

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"Integral Solutions." In Asymptotic Analysis of Differential Equations. IMPERIAL COLLEGE PRESS, 2005. http://dx.doi.org/10.1142/9781860949272_0009.

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"Integral." In Problems and Solutions in Mathematics. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814304979_0012.

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"INTEGRAL." In Problems and Solutions in Mathematics. WORLD SCIENTIFIC, 1998. http://dx.doi.org/10.1142/9789812385406_0012.

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"Integral Equation Solutions." In Modeling and Design of Electromagnetic Compatibility for High-Speed Printed Circuit Boards and Packaging. CRC Press, 2017. http://dx.doi.org/10.1201/9781315305875-3.

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Collins, Peter J. "Series Solutions." In Differential and Integral Equations. Oxford University PressOxford, 2006. http://dx.doi.org/10.1093/oso/9780198533825.003.0014.

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Abstract In this chapter, we investigate a special technique which provides solutions to a wide class of differential equations. Again, we concentrate on the homogeneous linear second-order equation where p 0, p 1, p 2 are continuous functions which we shall suppose throughout this chapter to have no common zeros. We do not, for the moment, specify the domain of these functions, though it will in general be taken to be an interval, finite or infinite. Hitherto, we have often specified that the function p 2 is never zero. A point x 0 in the domain of p 2 for which p 2(x 0) ≠ 0 is called an ordi
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"Integral equations and integral relations." In Heun’s Differential Equations, edited by A. Ronveaux. Oxford University PressOxford, 1995. http://dx.doi.org/10.1093/oso/9780198596950.003.0007.

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Abstract Except in some trivial cases, no example has been given of a solution of Heun’s equation expressed in the form of a definite integral or contour integral involving only functions which are, in some sense, simpler. It may be reasonably conjectured that no such expressions exist. In place of such formulae, there are integral equations satisfied by solutions of Heun’s equation, and integral relationships expressing one solution in terms of another.
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Polanco, Carlos. "SOLUTIONS." In Differential and Integral Calculus Theory and Cases. BENTHAM SCIENCE PUBLISHERS, 2020. http://dx.doi.org/10.2174/9789811465123120010016.

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Conference papers on the topic "Integral Solutions"

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Krishnan, V., Vinodkumar K, Manju Sangwan, Vikram Nattamai Sankaran, and Sivakumar S. "Nonlinear Integral Equations in Modeling and Simulation of Electromagnetic Fields." In 2025 International Conference on Frontier Technologies and Solutions (ICFTS). IEEE, 2025. https://doi.org/10.1109/icfts62006.2025.11031593.

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Nguyen, Chris, and Vladimir Okhmatovski. "Tensor-Train Accelerated Solution of 3D Vector Volume Integral Equation Solutions with logN Complexity." In 2025 International Applied Computational Electromagnetics Society Symposium (ACES). IEEE, 2025. https://doi.org/10.23919/aces66556.2025.11052583.

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Chen, Kaisheng. "Fresnel diffraction by rectangle aperture: a non-approximate integral theorem and aperture pattern correction." In 8th International Workshop on Advanced Patterning Solutions (IWAPS 2024), edited by Yayi Wei and Tianchun Ye. SPIE, 2024. https://doi.org/10.1117/12.3052939.

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Lu, Hao Zheng, Lu Yi Liu, Amir Boag, and Mei Song Tong. "A GPU Acceleration Method for Direct Solutions of Electric Field Integral Equations." In 2024 IEEE International Symposium on Antennas and Propagation and INC/USNC‐URSI Radio Science Meeting (AP-S/INC-USNC-URSI). IEEE, 2024. http://dx.doi.org/10.1109/ap-s/inc-usnc-ursi52054.2024.10687258.

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Li, Shu Yi, and Mei Song Tong. "Efficient Solutions of Time-Domain Volume Integral Equations Based on Meshless Discretization." In 2024 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2024. http://dx.doi.org/10.1109/iceaa61917.2024.10701801.

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Cruz, Mario, Isabel Pilicita, Fanny Cevallos, and Anabel Pilicita. "INTEGRAL ATTENTION TO SERVICE SOLUTIONS." In International Conference on Economics, Finance & Business, Prague. International Institute of Social and Economic Sciences, 2023. https://doi.org/10.20472/efc.2023.019.004.

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Thomas, Paul, Cesare Hall, and Aimee Morgans. "Analytical Solutions for Acoustic Integral Solvers." In 18th AIAA/CEAS Aeroacoustics Conference (33rd AIAA Aeroacoustics Conference). American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-2123.

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OVONO, DIEUDONNE NDONG. "ADVANCED FINITE ELEMENT SOLUTIONS TO INTEGRAL EQUATIONS." In International MultiConference of Engineers and Computer Scientists (IMECS 2015) & World Congress on Engineering (WCE 2015). WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813142725_0001.

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Gurel, Levent, Tahir Malas, and Ozgur Ergul. "Preconditioning iterative MLFMA solutions of integral equations." In 2010 URSI International Symposium on Electromagnetic Theory (EMTS 2010). IEEE, 2010. http://dx.doi.org/10.1109/ursi-emts.2010.5637219.

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Liao, Wen-I., and Tsung-Jen Teng. "On Evaluation of Lamb’s Integrals for Seismic Waves in a Three-Dimension Elastic Half-Space." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71448.

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The analytical method such as the boundary integral (element) method or the series expansion method is usually used to solve the wave scattering problem. In these methods, the singular Green’s function should be determined firstly; the main difficulty of the use of the Lamb’s singular solutions in integral form to represent the diffracted fields is the numerical implementation for the evaluation of those improper integrals. The integrands of these integrals are highly irregular and oscillatory. In this paper, a technique is proposed to calculate the integral in wave-number domain based on the
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Reports on the topic "Integral Solutions"

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Zhang, S. Y., and W. T. Weng. On solutions of Sacherer integral equation. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10165323.

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Zhang S. Y. and W. Weng. ON SOLUTIONS OF SACHERER INTEGRAL EQUATION. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/1151288.

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Rall, L. B. Computable Bounds for Solutions of Integral Equations. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada158189.

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Sirkis, Jim. Boundary Element (Integral) Solutions to Heat Conduction Problems. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada175530.

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Machida, Yoshinori. Twistor Integral Representations of Solutions of the Sub-Laplacian. GIQ, 2012. http://dx.doi.org/10.7546/giq-1-2000-159-162.

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Fieseler, Kelsey, and Timothy Jacobs. PR-457-14201-R04 Variable NG Composition Effects on LB 2SC Integral Engines. Pipeline Research Council International, Inc. (PRCI), 2018. http://dx.doi.org/10.55274/r0011525.

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The overall goal of this project is to improve upon existing engine control strategies of large bore, fuel-lean natural gas engines in order to increase efficiency and maintain emissions compliance during variable fuel composition events. This will be done by simulating the effects of variable fuels in a natural gas engine, and if necessary, develop engine control methods. Phase III builds upon the work of previous phases by implementing detailed cylinder-level geometry, increasing the number of alkane species in the laminar flame speed and ignition delay solutions, and incorporating a precham
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Saget, Catherine, Tahmina Karimova, Trang Luu, Nicolas Maitre, and Sévane Ananian. Greening enterprises: transforming processes and workplaces. ILO, 2022. http://dx.doi.org/10.54394/xvvb655.

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The conduct of enterprises is crucial to the natural environment’s well-being and to a just transition. Most enterprises, including small ones, are implementing measures to reduce waste and carbon emissions; in the majority of cases this entails no cost or even a reduction in production costs. Measures to green the places where people carry out their work are an integral part of the greening of enterprises and are important to both workers and employers. But more needs to be done to help enterprises and workplaces become green and be productive in environmentally sustainable ways. Innovative t
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Eberle, Caitlyn, and Oscar Higuera Roa. Technical Report: Mediterranean wildfires. United Nations University - Institute for Environment and Human Security (UNU-EHS), 2022. http://dx.doi.org/10.53324/vceb1752.

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In summer 2021, drought and low humidity combined with record-breaking heat of up to 48.8°C (119.8°F) led to fire outbreaks across the Mediterranean countries, killing more than 100 people and burning more than 620,000 ha of land in July and August. As forests are often fiercely protected areas, the common approach to wildfire management in the Mediterranean is to extinguish every fire as it appears, but counterintuitively this supports the formation of “mega-fires” that burn beyond our capacity to control. Fires are not yet seen as integral to ecosystem functioning, and the management of fire
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Quartesan, Alessandra, Francesco Lanzafame, and Monica Romis. Cultural Industries in Latin America and the Caribbean: Challenges and Opportunities. Inter-American Development Bank, 2007. http://dx.doi.org/10.18235/0008518.

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Over the past decade, the new creative-cultural industries have increasingly become one of the main sources of greater production and employment in many countries. Although the growth of cultural industries has been mostly limited to the world's richest countries, a number of low- and middle-income countries have come to recognize that they too can participate in the cultural economy. In this regard, Latin American and Caribbean (LAC) countries have begun to identify new opportunities and are actively seeking sustainable solutions to maintain these industries as an integral part of cultural an
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Alpert, B., G. Beylkin, R. Coifman, and V. Rokhlin. Wavelets for the Fast Solution of Second-Kind Integral Equations. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada233650.

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