Nonoscillatory solutions of delay difference equations with oscillating coefficients


Bolat Y., Akin Ö.

Demonstratio Mathematica, vol.36, no.4, pp.859-866, 2003 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 36 Issue: 4
  • Publication Date: 2003
  • Doi Number: 10.1515/dema-2003-0411
  • Journal Name: Demonstratio Mathematica
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Linguistic Bibliography, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.859-866
  • Ankara University Affiliated: Yes

Abstract

© 2013 Warsaw University. All rights reserved.Our aim in this paper is to obtain sufficient conditions under which certain difference equations have a "large" number of non-oscillatory solutions. Using the characteristic equation of a "majorant" delay difference equation with oscillating coefficients and Schauder's fixed point theorem, we obtain conditions under which the difference equation in question has a non-oscillatory solution.