Advances in Dynamical Systems and Applications

  • Year: 2006
  • Volume: 1
  • Issue: 1

The asymptotic behavior of nonoscillatory solutions of some nonlinear dynamic equations on time scales

  • Author:
  • Xiangyun Shi1,, Xueyong Zhou1,, Weiping Yan2
  • Total Page Count: 10
  • DOI:
  • Page Number: 103 to 112

1Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, P.R. China.

2Department of Mathematics, Shanxi University, Taiyuan 030006, Shanxi, P.R. China.

Abstract

In this paper, the asymptotic behavior of nonoscillatory solutions of the nonlinear dynamic equation on time scales is considered under the condition

Three sufficient and necessary conditions are obtained, which include and improve M.R.S. Kulenović and Ć. Ljubović’s recent results in the continuous case [5] and provide some new results in the discrete case, as well as other more general situations.

Keywords

Time scales, dynamic equation, asymptotic behavior, nonoscillatory solutions