Boundary-Value Problems for Weakly Singular Integral Equations of Hammerstein Type

IF 0.5 4区数学 Q3 MATHEMATICS Ukrainian Mathematical Journal Pub Date : 2024-07-30 DOI:10.1007/s11253-024-02307-w

Oleksandr Boichuk, Viktor Feruk

引用次数: 0

Abstract

We consider the problem of existence of the solution of a weakly nonlinear boundary-value problem for the Hammerstein-type integral equation with unbounded kernel, which turns, for ε = 0, into one of solutions of the generating problem. The necessary and sufficient conditions for the existence of this solution are obtained and the iterative procedure is proposed for its construction.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

哈默斯坦式弱奇异积分方程的边值问题

我们考虑了哈默斯坦型积分方程的弱非线性边界值问题的解的存在性问题，该问题的核是无界的，当 ε = 0 时，它变成了生成问题的解之一。我们得到了该解存在的必要条件和充分条件，并提出了构建该解的迭代过程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.

期刊最新文献

Boundary-Value Problems for the Lyapunov Equation. I Sufficient Conditions and Radius Problems for the Silverman Class The Norming Sets of $$\mathcal{L}\left({}^{m}{l}_{1}^{n}\right)$$ Relationship Between the Bojanov–Naidenov Problem and the Kolmogorov-Type Inequalities Abelian Model Structures on Comma Categories