EXISTENCE AND UNIQUENESS OF NONTRIVIAL SOLUTIONS FOR NONLINEAR HIGHER-ORDER THREE-POINT EIGENVALUE PROBLEMS ON TIME SCALES

被引：0

作者：

Han, Wei ^{[1
]}

Kao, Yonggui ^{[2
]}

机构：

[1] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

[2] Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

基金：

中国国家自然科学基金;

关键词：

Time scale; nontrivial solutions; eigenvalue problem; fixed point theorem; Leray-Schauder nonlinear alternative;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a nonlinear higher-order three-point eigenvalue problems with first-order derivative on time scales. Under certain growth conditions on the nonlinearity, sufficient conditions for existence and uniqueness of nontrivial solutions, which are easily verifiable, are obtained by using the Leray-Schauder nonlinear alternative. The conditions used in the paper are different from those in [4, 10, 21]. To show applications of our main results, we present some examples.

引用

页数：15

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