Multiple positive solutions of nonlinear third-order boundary value problems with integral boundary conditions on time scales

Advances in Difference Equations

Yongkun Li¹  Lingyan Wang² 

[1] Department of Mathematics, Yunnan University, Kunming, People’s Republic of China

关键词: time scales;    fixed point theorem;    integral boundary conditions;    multiple positive solutions;    cone;   

DOI  :  10.1186/s13662-015-0442-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a class of nonlinear third-order boundary value problems with integral boundary conditions on time scales. By applying a generalization of the Leggett-Williams fixed point theorem, we establish the existence of at least three positive solutions. The discussed problem involves both an increasing and positive homomorphism, which generalizes the p-Laplacian operator. As an application, we give an example to illustrate our results.

【 授权许可】

CC BY