Existence of positive solutions of linear delay difference equations with continuous time

George E. Chatzarakis, István Győri, Hajnalka Péics, Ioannis P. Stavroulakis

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Consider the delay difference equation with continuous time of the form where Pi: [t0, ¥) ® R, ki: [t0, ¥) ® {2, 3, 4,...} and limt®¥ (t - ki(t)) = ¥, for i = 1, 2,...,m. We introduce the generalized characteristic equation and its importance in oscillation of all solutions of the considered difference equations. Some results for the existence of positive solutions of considered difference equations are presented as the application of the generalized characteristic equation.

Original languageEnglish
Article numberA15
JournalElectronic Journal of Qualitative Theory of Differential Equations
Volume2015
Publication statusPublished - Jan 1 2015

Keywords

  • Difference equations with continuous time
  • Functional equations
  • Non-oscillatory solutions
  • Oscillatory solutions
  • Positive solutions

ASJC Scopus subject areas

  • Applied Mathematics

Fingerprint Dive into the research topics of 'Existence of positive solutions of linear delay difference equations with continuous time'. Together they form a unique fingerprint.

  • Cite this