Solution of a Linear Integral Equation of Third Kind-Reference-Cited by-同舟云学术

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Solution of a Linear Integral Equation of Third Kind

Published:2002-03 Issue:1 Volume:9 Page:179-196
ISSN:1572-9176
Container-title:gmj
language:en
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Author:

Shulaia D.¹

Affiliation:

1. I.Vekua Institute of Applied Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 380043, Georgia

Abstract

Abstract The aim of this paper is to study, in the class of Hölder functions, a nonhomogeneous linear integral equation with coefficient cos 𝑥. Necessary and sufficient conditions for the solvability of this equation are given under some assumptions on its kernel. The solution is constructed analytically, using the Fredholm theory and the theory of singular integral equations.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Principal Parts-Extension for a Noether Operator A;Operator Theory - Recent Advances, New Perspectives and Applications [Working Title];2022-11-15

2. On Delta-Extension for a Noether Operator;Russian Mathematics;2021-11

3. A Nyström method for a class of Fredholm integral equations of the third kind on unbounded domains;Applied Numerical Mathematics;2009-12

4. On a singular integral equation with Weierstrass kernel;Complex Variables and Elliptic Equations;2008-09

5. The exact solution and stability analysis for integral equation of third or first kind with singular kernel;Applied Mathematics and Computation;2008-08

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