Multiple results of p-Laplacian dynamic equations on time scales

作者：Geng Fengjie^*; Zhu Deming

来源：Applied Mathematics and Computation, 2007, 193(2): 311-320.

DOI：10.1016/j.amc.2007.03.069

• time scales
• jump operator
• three-point boundary value problems
• p-Laplacian dynamic equations
• fixed point theorem

In this paper, a new fixed point theorem introduced by Avery and Peterson and another fixed point theorem are applied to boundary value problems for p-Laplacian dynamic equations on time scales. By imposing some growth conditions on the nonlinearity f, we establish the existence results of at least three positive solutions. As an application, some examples are included to illustrate the main results.

• 出版日期2007-11-1
• 单位华东师范大学