Existence and uniqueness for second-order vector boundary value problem of nonlinear systems

被引：0

作者：

Zengji D. ^{[1
]}

Xiaojie L. ^{[2
]}

Weigao G. ^{[1
]}

机构：

[1] Dept. of Math, Beijing Institute of Technology, Beijing

[2] Dept. of Math, Xuzhou Normal Univ, Xuzhou

来源：

Applied Mathematics-A Journal of Chinese Universities | 2005年 / 20卷 / 3期

基金：

中国国家自然科学基金;

关键词：

Existence and uniqueness; Nonlinear boundary value problem; Upper and lower solutions method; Vector differential equation;

D O I：

10.1007/s11766-005-0008-6

中图分类号：

学科分类号：

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. © 2005 Springer Verlag.

引用

页码：323 / 330

页数：7

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