Weakly Perturbed Fredholm Integral Equations with Degenerate Kernels in Banach Spaces

被引：0

作者：

Zhuravlev V.F. ^{[1
]}

Fomin N.P. ^{[1
]}

机构：

[1] Zhytomyr National Agricultural-Economic University, Staryi Bulv., 7, Zhytomyr

来源：

Journal of Mathematical Sciences | 2018年 / 229卷 / 4期

关键词：

D O I：

10.1007/s10958-018-3687-2

中图分类号：

学科分类号：

摘要：

We consider weakly perturbed Fredholm equations with degenerate kernels in Banach spaces and establish conditions for ε = 0 to be a bifurcation point for the solutions of weakly perturbed operator equations X in Banach spaces. A convergent iterative scheme for finding solutions in the form of series Σi=−1+∞εizi(t) in powers of ε is proposed. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：425 / 438

页数：13

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