Weakly Nonlinear Boundary-Value Problems for Operator Equations in Banach Spaces

被引：0

作者：

Zhuravliov V.P. ^{[1
]}

机构：

[1] Polissya National University, Staryi Ave., 7, Zhytomyr

来源：

Journal of Mathematical Sciences | 2023年 / 270卷 / 2期

关键词：

D O I：

10.1007/s10958-023-06345-w

中图分类号：

学科分类号：

摘要：

We consider weakly nonlinear boundary-value problems for operator equations with generalized invertible operator in the linear part of the boundary-value problem in the critical case. We establish necessary and sufficient conditions for the existence of at least one and unique solution of this boundary-value problem and propose convergent iterative procedures for its construction. © 2023, Springer Nature Switzerland AG.

引用

页码：263 / 279

页数：16

共 17 条

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