On the Solvability of a Boundary-Value Problem for a Second-Order Singular Quasilinear Equation

被引：0

作者：

Plaksina V.P. ^{[1
]}

Plaksina I.M. ^{[1
]}

Plekhova E.V. ^{[1
]}

机构：

[1] Perm National Research Polytechnic University, Perm

来源：

Journal of Mathematical Sciences | 2018年 / 230卷 / 5期

基金：

俄罗斯基础研究基金会;

关键词：

singular ordinary differential equation; boundary-value problem; Green operator; quasilinear equation; 34B05; 34B16;

D O I：

10.1007/s10958-018-3781-5

中图分类号：

学科分类号：

摘要：

We obtain solvability conditions for a two-point boundary-value problem for a second-order quasilinear equation. The equation is singular with respect to the independent variable. The result is based on the properties of the Green operator of the corresponding linear problem. In particular, we prove its boundedness and obtain an upper estimate of its norm. Conditions of existence of a solution of the original problem are obtained from the solvability condition of an auxiliary operator equation. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：742 / 745

页数：3

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