Approximations of solutions for a class of conditionally well-posed integro-differential equations
https://doi.org/10.26907/2541-7746.2025.1.5-15
Abstract
In this article, for a specific class of conditionally well-posed integro-differential equations in a novel pair of weighted Sobolev spaces, an alternative method for constructing approximations (particularly finite-dimensional ones) to the solution of the corresponding boundary value problem is proposed, and its theoretical justification is provided for minimal differential properties of the coefficients of the equation.
About the Authors
J. R. AgachevRussian Federation
Juriy R. Agachev, Cand. Sci. (Physics and Mathematics), Associate Professor, Department of Theory of Functions and Approximations, N.I. Lobachevsky Institute of Mathematics and Mechanics
Kazan
M. Yu. Pershagin
Russian Federation
Mikhail Yu. Pershagin, Senior Lecturer, Department of Theory of Functions and Approximations, N.I. Lobachevsky Institute of Mathematics and Mechanics
Kazan
References
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Review
For citations:
Agachev J.R., Pershagin M.Yu. Approximations of solutions for a class of conditionally well-posed integro-differential equations. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2025;167(1):5-15. (In Russ.) https://doi.org/10.26907/2541-7746.2025.1.5-15