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POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES

POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES
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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.
作者 Geng Fengjie Zhu Deming Li Hongzhi
机构地区 Department of Mathematics College of Science
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 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).
关键词 time scale jump operator three-point boundary value problem dynamic equation cone. time scale, jump operator, three-point boundary value problem, dynamic equation, cone.
分类号 O175.8 [理学—基础数学]
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参考文献12

  • 1Agarwal R P, Bohner M, O'Regan D, et al. Dynamic equations on time scales: a survey, J Comput Appl Math, 2002, 141: 1-26.
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Applied Mathematics(A Journal of Chinese Universities)
2007年 第1期

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