International Journal of Difference Equations
  • Year: 2008
  • Volume: 3
  • Issue: 1

On the reciprocal difference equation with maximum and periodic coefficients

  • Author:
  • H.D. Voulov
  • Total Page Count: 15
  • Page Number: 153 to 167

Department of Mathematics and Statistics, University of Missouri, Kansas City, Kansas City, MO, 64110-2499

AMS subject classification: 39A10.

Abstract

We study the following nonlinear difference equation where k is any fixed positive integer and the coefficients An, Bn are positive and periodic with the same period 2. The special case when k = 1 has been investigated earlier by Mishev, Patula and Voulov. Here we extend their results to the general case.

Keywords

Nonlinear difference equations, positive solutions, periodicity