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Polynomial solutions for general linear polynomial ordinary integro-differential systems
Proceedings of the 2025 International Symposium on Symbolic and Algebraic ComputationIn this article, we consider the problem of computing polynomial solutions of general linear systems of ordinary integro-differential equations with polynomial coefficients.
T. Cluzeau, Camille Pinto, Alban Quadrat
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Вестник Самарского государственного технического университета. Серия «Физико-математические науки»
The Khalouta integral transform is a powerful method for solving various types of equations, including integro-differential equations and integral equations.
A. Khalouta
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The Khalouta integral transform is a powerful method for solving various types of equations, including integro-differential equations and integral equations.
A. Khalouta
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Lobachevskii Journal of Mathematics, 2023
T. Yuldashev, T. A. Abduvahobov
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T. Yuldashev, T. A. Abduvahobov
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Existence of Solutions for Nonlinear Integro-Differential Equations via Fixed Point Theory
International Scientific Journal of Engineering and Management: Fixed point theory has emerged as a powerful analytical tool in the study of nonlinear differential and integro-differential equations. This work explores the existence of solutions for a class of first-order nonlinear problems involving both ...
R. B. Deshmukh, P. Bhosale
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Trigonometric Interpolation Based Approach for Second Order Fredholm Integro-Differential Equations
arXiv.orgA trigonometric interpolation algorithm for non-periodic functions has been recently proposed and applied to study general ordinary differential equation (ODE). This paper enhances the algorithm to approximate functions in $2$-dim space.
Xiaorong Zou
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Lobachevskii Journal of Mathematics, 2022
T. Yuldashev, F. U. Sulaimonov
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T. Yuldashev, F. U. Sulaimonov
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Solving integral equations in free space with inverse-designed ultrathin optical metagratings
Nature Nanotechnology, 2023Andrea Cordaro, Andrea Alu
exaly

