International Journal of Difference Equations

  • Year: 2008
  • Volume: 3
  • Issue: 1

Positive solutions for p-Laplacian functional dynamic equations on time scales*

  • Author:
  • Lu-Tian Tang1, Hong-Rui Sun1,†, Zhen-Hua Chen2
  • Total Page Count: 17
  • DOI:
  • Page Number: 135 to 151

1School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, People's Republic of China.

2Lanzhou Subsidiary Company, Gansu Telecommunication Company, Lanzhou, 730030, Gansu, People's Republic of China.

†Corresponding author.

AMS subject classification: 34B15, 39A10.

Abstract

Using fixed point theorems in cones, we establish some sufficient conditions for the existence of at least single and multiple positive solutions of the boundary value problems for a p-Laplacian functional dynamic equation on time scales. Our results generalize and extend some earlier results in the literature. As application, two examples are also given to illustrate the results.

Keywords

Positive solution, p-Laplacian, functional dynamic equation, fixed point