Results 21 to 30 of about 3,014,672 (279)

Inverse problem for a Fredholm third order partial integro-differential equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
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An Algorithm for the Closed-Form Solution of Certain Classes of Volterra–Fredholm Integral Equations of Convolution Type

Algorithms, 2022
In this paper, a direct operator method is presented for the exact closed-form solution of certain classes of linear and nonlinear integral Volterra–Fredholm equations of the second kind.
Efthimios Providas
doaj   +1 more source

Classical solutions for a class of nonlinear wave equations [PDF]

Theoretical and Applied Mechanics, 2021
We study a class of initial value problems subject to nonlinear partial differential equations of hyperbolic type. A new topological approach is applied to prove the existence of nontrivial nonnegative solutions. More precisely, we propose a new integral
Georgiev Svetlin, Mebarki Karima, Zennir Khaled   +2 more
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On the existence of solutions of some non-linear functional integral equations in Banach algebra with applications

Arab Journal of Basic and Applied Sciences, 2020
In this article, we establish some results for the existence of solution of nonlinear functional integral equations by using Darbo’s fixed point theorem in Banach algebra.
Amar Deep, Deepmala, Cemil Tunç
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A class of Runge–Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels

Advances in Difference Equations, 2018
This paper aims to obtain an approximate solution for fractional order Riccati differential equations (FRDEs). FRDEs are equivalent to nonlinear Volterra integral equations of the second kind.
Bijan Hasani Lichae, Jafar Biazar, Zainab Ayati   +2 more
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Nonlinear Alternative: Application to an Integral Equation [PDF]

Journal of Applied Analysis, 1999
We prove the existence of solutions to an integral equation modeling the infiltration of a fluid in an isotropic homogeneous porous ...
openaire   +2 more sources

Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks

Mathematics, 2022
A Hopfield neural network is described by a system of nonlinear ordinary differential equations. We develop a broad range of numerical schemes that are applicable for a wide range of computational problems.
Ilya Boykov, Vladimir Roudnev, Alla Boykova   +2 more
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Lyapunov Functionals in Integral Equations

Axioms, 2023
Lyapunov functions/functionals have found their footing in Volterra integro-differential equations. This is not the case for integral equations, and it is therefore further explored in this paper.
Youssef N. Raffoul, Joseph Raffoul
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An inverse problem for a nonlinear Fredholm integro-differential equation of fourth order with degenerate kernel

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
doaj   +1 more source

Solving linear and nonlinear Volterra Fuzzy Integral Equations System via Differential Transform Method

Fuzzy Optimization and Modeling, 2022
In this study, we consider solving the second kind Volterra fuzzy integral equations system in two cases linear and nonlinear by using a semi-analytic method, called Differential Transform Method (DTM).
Mahmoud Paripour, Mandana Takrimi
doaj   +1 more source