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Existence of Positive Solutions for Second-Order m-Point Boundary Value Problems on Time Scales
引用本文:Pei-guang Wang Ying Wang. Existence of Positive Solutions for Second-Order m-Point Boundary Value Problems on Time Scales[J]. 应用数学学报(英文版), 2006, 22(3): 457-468. DOI: 10.1007/s10255-006-0322-7
作者姓名:Pei-guang Wang Ying Wang
作者单位:[1]College of Electronic and Information Engineering, Hebei University, Baoding 071002, China [2]College of Mathematics and Computer Science, Hebei University, Baoding 071002, China
基金项目:The Project Sponsored by the Scientific Research Foundation for the Returned 0verseas Chinese Scholars, State Education Ministry of China (48371109) and the Natural Science Foundation of Hebei Province of China (A2004000089)
摘    要:

关 键 词:动态方程 时间尺度 正解 固定点理论
收稿时间:2005-05-12
修稿时间:2005-05-122005-09-02

Existence of Positive Solutions for Second-Order m-Point Boundary Value Problems on Time Scales
Pei-guang Wang,Ying Wang. Existence of Positive Solutions for Second-Order m-Point Boundary Value Problems on Time Scales[J]. Acta Mathematicae Applicatae Sinica, 2006, 22(3): 457-468. DOI: 10.1007/s10255-006-0322-7
Authors:Pei-guang Wang  Ying Wang
Affiliation:(1) College of Electronic and Information Engineering, Hebei University, Baoding, 071002, China;(2) College of Mathematics and Computer Science, Hebei University, Baoding, 071002, China
Abstract:This paper investigates thc existence of positive solutions of the m-point boundary value problem for second-order dynamic equations on time scales, and obtain the result that the problem has at least one positive solution by using functional-type cone expansion-compression fixed point theorem.
Keywords:Dynamic equation   time scales   positive solution   cone   fixed-point theorem
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