Non-oscillation of solutions of difference equations of third order

  • Authors:

  • N. Parhi

  • Affiliations:

  • -

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

Quantified Score

Hi-index 0.10

Visualization

Abstract

In this paper, sufficient conditions in terms of coefficient functions are obtained for non-oscillation of all solutions of a class of linear homogeneous third order difference equations of the form y(n+3)+@a(n)y(n+2)+@b(n)y(n+1)+@c(n)y(n)=0,n=0,@D^3y(n-1)+a(n)@D^2y(n-1)+b(n)@Dy(n)+c(n)y(n)=0,n=1, and @D(p(n-1)@D^2y(n-1))+q(n)@Dy(n)+r(n)y(n)=0,n=1, where @c(n)0 and p(n)0. The technique developed depends on non-oscillation of certain linear homogeneous second order difference equations.