Advances in Dynamical Systems and Applications
  • Year: 2007
  • Volume: 2
  • Issue: 2

Existence of positive solutions of second order neutral dynamic equations on time scales

  • Author:
  • Zhi-Qiang Zhu
  • Total Page Count: 18
  • Page Number: 265 to 282

Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou 510665, P.R. Chinaz. E-mail: 3825@yahoo.com.cn

AMS subject classification: 34K25, 34K40.

Abstract

In this paper, a class of second order neutral dynamic equations on time scales is studied. Various types of eventually positive solutions are given and the existence of these eventually positive solutions are then derived by means of Kranoselskii's fixed point theorem.

Keywords

Neutral dynamic equations, time scales, positive solutions, fixed point theorem