EXISTENCE AND UNIQUENESS FOR SECOND-ORDER VECTOR BOUNDARY VALUE PROBLEM OF NONLINEAR SYSTEMS

被引：0
|
作者：
Du Zengji 1 Lin Xiaojie 2 Ge Weigao 11 Dept. of Math.
机构：
来源：
AppliedMathematics:AJournalofChineseUniversities | 2005年 / 03期
关键词：
vector differential equation; nonlinear boundary value problem; existence and uniqueness; upper and lower solutions method;
D O I：
暂无
中图分类号：
O175.1 [常微分方程];
学科分类号：
070104 ;
摘要：
This paper is concerned with the following second-order vector boundary value problem:x″=f(t,Sx,x,x′),0<t<1, x(0)=A,g(x(1),x′(1))=B,where x,f,g,A and B are n-vectors.Under appropriate assumptions,existence and uniqueness of solutions are obtained by using upper and lower solutions method.
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页码：323 / 330
页数：8
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