哈默斯坦式弱奇异积分方程的边值问题

Pub Date : 2024-07-30 DOI:10.1007/s11253-024-02307-w

Oleksandr Boichuk, Viktor Feruk

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引用次数: 0

摘要

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。

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

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.

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