Existence of solution and positive solution of BVP for nonlinear third-order dynamic equation

被引：23
|
作者：
Sun, JP [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 03期
关键词：
time scale; dynamic equation; boundary value problem; solution and positive solution; fixed point;
D O I：
10.1016/j.na.2005.04.046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we are concerned with the following third-order two-point boundary value problem on time scale T Some existence criteria of solution and positive solution are established by using Leray-Schauder fixed point theorem and our main conditions are local. An example is also included to illustrate the importance of the results obtained. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：629 / 636
页数：8
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