International Journal of Difference Equations
  • Year: 2006
  • Volume: 1
  • Issue: 2

Oscillation of Second Order HalfLinear Dynamic Equations on Discrete Time Scales

  • Author:
  • M. Bohner1, S.H. Saker2
  • Total Page Count: 14
  • Page Number: 205 to 218

1University of Missouri–Rolla, Department of Mathematics and Statistics, Rolla, Missouri 65401, U.S.A. E-mail: bohner@umr.edu

2Mansoura University, Department of Mathematics, Mansoura 35516, Egypt. E-mail: shsaker@mans.edu.eg

AMS subject classification: 39A10, 39A99, 34C10, 39A11.

Abstract

In this paper, by using the Riccati techniques and algebraic inequalities, we will establish some oscillation criteria for a second order half-linear dynamic equation on a discrete time scale.

Keywords

Oscillation, halflinear dynamic equation, discrete time scale, Riccati technique