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A new general integral transform for solving integral equations [PDF]
Journal of Advanced Research, 2021 Introduction: Integral transforms are important to solve real problems. Appropriate choice of integral transforms helps to convert differential equations as well as integral equations into terms of an algebraic equation that can be solved easily.During ...
Hossein Jafari
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Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet [PDF]
Heliyon, 2020 In this article, a computational Haar wavelet collocation technique is developed for the solution of linear delay integral equations. These equations include delay Fredholm, Volterra and Volterra-Fredholm integral equations.
Rohul Amin +3 more
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AIMS Mathematics, 2023 In the present work, we consider an inverse boundary value problem for a fourth order pseudo parabolic equation with periodic and integral condition.
Yashar Mehraliyev +2 more
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An inverse boundary value problem for a two-dimensional pseudo-parabolic equation of third order
Results in Applied Mathematics, 2022 In the present work, we consider an inverse boundary value problem for a two-dimensional pseudo-parabolic equation of the third-order. Using analytical and operator-theoretic methods, as well as the Fourier method, the existence and uniqueness of the ...
Yashar T. Mehraliyev +2 more
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Journal of Optimization, Differential Equations and Their Applications, 2023 We investigate the optimal control problem with respect to coefficients of the degenerate parabolic variational inequality. Since problems of this type can have the Lavrentieff effect, we consider the optimal control problem in a class of so-called ...
Nina V. Kasimova +2 more
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An inverse boundary value problem for transverse vibrations of a bar
Boundary Value Problems, 2022 In this article, we study an inverse problem (IP) for a fourth-order hyperbolic equation with nonlocal boundary conditions. This IP is reduced to the not self-adjoint boundary value problem (BVP) with corresponding boundary condition.
Yashar T. Mehraliyev +4 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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Volterra–Stieltjes integral equations and impulsive Volterra–Stieltjes integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper, we prove existence and uniqueness of solutions of Volterra–Stieltjes integral equations using the Henstock–Kurzweil integral. Also, we prove that these equations encompass impulsive Volterra–Stieltjes integral equations and prove the ...
Edgardo Alvarez +3 more
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Optimal Control Problem for Some Degenerate Variation Inequality: Attainability Problem
Journal of Optimization, Differential Equations and Their Applications, 2018 We study an optimal control problem for degenerate elliptic variation inequality with degenerate weight function of potential type in the so-called class of H-admissible solutions.
Nina V. Kasimova
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Generalized Ponce’s inequality
Journal of Inequalities and Applications, 2021 We provide a generalization of a remarkable inequality by A. C. Ponce whose consequences are essential in several fields, such as a characterization of Sobolev spaces or nonlocal modelization.
Julio Muñoz
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