Positive solutions to nonlinear first-order PBVPs with parameter on time scales

被引：10
|
作者：
Sun, Jian-Ping [1 ]
Li, Wan-Tong [2 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 03期
关键词：
Time scale; Periodic boundary value problem; Positive solution; Fixed-point index; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; EXTREMAL SOLUTIONS; EXISTENCE; 4TH-ORDER;
D O I：
10.1016/j.na.2008.02.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the-following nonlinear first order periodic boundary value-problem with parameter on a time scale T {x(Delta)(t) + p(t)x(sigma(t)) = lambda f(x(t)), t is an element of [0, T](T), x(0) = x(sigma(T)), where lambda > 0 is a parameter., For suitable lambda > 0, some existence, multiplicity and nonexistence criteria of positive solutions are established by using well-known results from the fixed-point index. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：1133 / 1145
页数：13
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