ON A 3RD-ORDER NONLINEAR BOUNDARY-VALUE PROBLEM AT RESONANCE

被引：22

作者：

NAGLE, RK

POTHOVEN, KL

机构：

[1] Department of Mathematics, University of South Florida, Tampa, FL

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1995年 / 195卷 / 01期

关键词：

D O I：

10.1006/jmaa.1995.1348

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the existence of solutions to third order boundary value problems of the form x''' + x' + g(x, x') = p(t), x'(0) = x'(pi) = x(eta) = 0, where eta lies in [0, pi]. We assume that g is continuous and one-sided bounded (e.g., g greater than or equal to 0) and p is continuous. Solutions are shown to exist if p satisfies a Landesman-Lazer type condition involving g. Several examples are given to illustrate how these conditions depend upon the parameter eta. (C) 1995 Academic Press, Inc.

引用

页码：148 / 159

页数：12

共 13 条

[1] EXISTENCE AND UNIQUENESS THEOREMS FOR 3-POINT BOUNDARY-VALUE PROBLEMS [J].