Advances in Dynamical Systems and Applications
  • Year: 2009
  • Volume: 4
  • Issue: 1

Triple Positive Solutions of Two-Point BVPs for p-Laplacian Dynamic Equations on Time Scales

  • Author:
  • Tuo Li, Xiaohong Yuan
  • Total Page Count: 14
  • Page Number: 73 to 86

Hexi University, Department of Mathematics, Zhangye, Gansu, 734000, People's Republic of China(corresponding author).

AMS Subject Classifications: 34B15, 39A10.

Abstract

We study the existence of positive solutions to the p-Laplacian dynamic equations

satisfying either the boundary condition

By using a new fve functionals fxed-point theorem due to Avery, we prove that the boundary value problems has at least three positive solutions. As an application, an example is given to illustrate our result.

Keywords

Time scales, boundary value problems, positive solutions, p-Laplacian, fxed point theorem