Uniqueness implies existence of solutions for nonlinear focal-like boundary value problems

被引：1

作者：

Ehme, Jeffrey ^{[1
]}

Lanz, Aprillya ^{[2
]}

机构：

[1] Spelman Coll, Dept Math, Atlanta, GA 30314 USA

[2] Virginia Mil Inst, Dept Math & Comp Sci, Lexington, VA 24450 USA

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 09期

关键词：

Uniqueness; Existence; Nonlinear boundary conditions; Focal; Right focal; ORDINARY DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.aml.2009.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given an appropriate growth condition for f and a uniqueness assumption on y((n)) = 0 with respect to certain focal boundary value problems, it is shown that uniqueness of solutions to the nonlinear differential equation y((n)) = f(t, y, y',..., y((n-1))), subject to boundary conditions of the form g(ij)(y(t(j)),..., y((n-1))(t(j))) = y(ij) implies existence of solutions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1325 / 1329

页数：5

共 15 条

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