Existence of multiple positive solutions for third-order p -Laplacian functional dynamic equations on time scales

Advances in Difference Equations

Wen Guan¹ 

[1] Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, People’s Republic of China

关键词: time scale;    p-Laplacian functional dynamic equations;    boundary value problem;    fixed point;   

DOI  :  10.1186/1687-1847-2014-242

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a class of boundary value problems for third-order p-Laplacian functional dynamic equations on time scales, some existence criteria of at least three positive solutions are established. The main tool used in this paper is the fixed point theorem due to Avery and Peterson (Comput. Math. Appl. 42:313-322, 2001). MSC:39K10, 34B15.

【 授权许可】

CC BY