POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES  

作　　者：Geng Fengjie Zhu Deming Li Hongzhi 

机构地区：[1]Department of Mathematics, East China Normal University, Shanghai 200062, China [2]College of Science, Agricultural University of Hebei, Baoding 071000, China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2007年第1期69-77,共9页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the NNSF of China(10371040).

摘　　要：The three-point boundary value problems of p-Laplacian dynamic equations on time scales are investigated. By using Krasnosel＇skii＇s fixed-point theorem and fixed-point index theorem, criteria are achieved for the existence of at least one, two or 2n positive solutions. Furthermore, some examples are included to illustrate the main theorems.The three-point boundary value problems of p-Laplacian dynamic equations on time scales are investigated. By using Krasnosel＇skii＇s fixed-point theorem and fixed-point index theorem, criteria are achieved for the existence of at least one, two or 2n positive solutions. Furthermore, some examples are included to illustrate the main theorems.

关 键 词：time scale jump operator three-point boundary value problem dynamic equation cone. 

分 类 号：O175.8[理学—数学]