Positive solutions of m -point integral boundary value problems for second-order p -Laplacian dynamic equations on time scales

Advances in Difference Equations

Phollakrit Thiramanus¹  Jessada Tariboon² 

[1] Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

关键词: positive solution;    p-Laplacian;    time scales;    fixed point theorem;    integral boundary condition;   

DOI  :  10.1186/1687-1847-2013-206

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we use the Krasnosel’skii fixed point theorem, the Avery-Henderson fixed point theorem and the Leggett-Williams fixed point theorem to obtain some results for the existence of at least one, two or three positive solutions of m-point integral boundary value problems for nonlinear second-order p-Laplacian dynamic equations on time scales. Two examples are presented to illustrate the applications of the results. MSC:34B15, 34N05.

【 授权许可】

CC BY