Existence of multiple positive solutions for p -Laplacian multipoint boundary value problems on time scales

Advances in Difference Equations

Abdulkadir Dogan¹ 

[1] Department of Applied Mathematics, Faculty of Computer Sciences, Abdullah Gul University, Kayseri, Turkey

关键词: time scales;    boundary value problem;    p-Laplacian;    positive solutions;    fixed point theorem;   

DOI  :  10.1186/1687-1847-2013-238

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider p-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has at least three positive solutions. Moreover, we study existence of positive solutions of a multipoint boundary value problem for an increasing homeomorphism and homomorphism on time scales. By using fixed point index theory, sufficient conditions for the existence of at least two positive solutions are provided. Examples are given to illustrate the results. MSC:34B15, 34B16, 34B18, 39A10.

【 授权许可】

CC BY