International Journal of Difference Equations
  • Year: 2007
  • Volume: 2
  • Issue: 2

Oscillation properties of higher order impulsive delay differential equations

  • Author:
  • Xiaodi Li
  • Total Page Count: 11
  • Page Number: 209 to 219

School of Mathematical Sciences, Shandong Normal University, Ji'nan, 250014, P.R. China. E-mail: sodymath@163.com

AMS subject classification: 34C10, 34C15.

Abstract

This paper studies the oscillation properties of higher order impulsive delay differential equations, and some sufficient conditions for all bounded solutions of this kind of higher order impulsive delay differential equations to be nonoscillatory are obtained by using a comparison theorem with corresponding nonimpulsive differential equations.

Keywords

Oscillation, delay differential problem, impulse, bounded solution, fixed times