Work

Approximations of solutions for a class of conditionally well-posed integro-differential equations

Year: 2025

Type: article

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.

Source: Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki

DOI: 10.26907/2541-7746.2025.1.5-15

Authors: J. R. Agachev, M. Yu. Pershagin

Institution: Kazan Federal University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409273868

FWCI:

Cites: 3

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Related to: 10