Bifurcation Conditions for the Solutions of Weakly Perturbed Boundary-Value Problems for Operator Equations in Banach Spaces

被引：0

作者：

V. F. Zhuravlev

机构：

[1] Zhytomyr National Agricultural-Economical University,

来源：

Ukrainian Mathematical Journal | 2018年 / 70卷

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摘要：

We establish the conditions of bifurcation of the solutions of weakly perturbed boundary-value problems for operator equations in Banach spaces from the point 𝜀 = 0. A convergent iterative procedure is proposed for the construction of solutions as parts of series in powers of 𝜀 with poles at the point 𝜀 = 0.

引用

页码：422 / 436

页数：14

共 7 条

[1]

Vishik MI(1960)Solution of some problems on perturbations in the case of matrices and self-adjoint and nonselfadjoint differential equations Usp. Mat. Nauk 15 3-80

[2]

Lyusternik LA(2011)Bifurcation of solutions of singular Fredholm boundary value problems Different. Equat. 47 453-461

[3]

Boichuk AA(2014)Linear boundary-value problems for normally solvable operator equations in a Banach space Different. Equat. 50 1-11

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