Oscillation theory for impulsive partial difference equations

Agarwal R. P., KARAKOÇ F.

Communications in Applied Analysis, vol.14, no.1, pp.59-72, 2010 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2010
  • Journal Name: Communications in Applied Analysis
  • Journal Indexes: Scopus, zbMATH
  • Page Numbers: pp.59-72
  • Keywords: Continuous variable, Impulsive differential equation, Oscillation, Partial difference equation
  • Ankara University Affiliated: Yes

Abstract

In this paper, we consider impulsive partial difference equation with continuous variables of the form p1z(x + a, y + b) + p2z(x + a, y) + p3z(x, y + b)- p4z(x, y) + P(x, y)z(x - τ, y) + Q(x, y)z(x, y - σ) + R(x, y)z(x - τ, y - σ) = 0, (x,y) ∈ (ℝ+ × ℝ+)\J, z(xn +, y) - z(xn-, y) = Lnz(x n-, Y), (xn, y) ∈ J. Sufficient conditions for all solutions of this equation to be oscillatory are established. © Dynamic Publishers, Inc.