Oscillation of Solutions of a Linear Second-Order Discrete-Delayed Equation

A linear second-order discrete-delayed equation with a positive coefficient is considered for . This equation is known to have a positive solution if fulfils an inequality. The goal of the paper is to show that, in the case of the opposite inequality for , all solutions of the equation considered ar...

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Bibliographic Details
Published in:Advances in difference equations 2010-01, Vol.2010 (1), p.1-12
Main Authors: Bastinec, J, Diblik, J, Smarda, Z
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Difference equations
Functional Analysis
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Oscillating
Oscillations
Partial Differential Equations
Recent Trends in Differential and Difference Equations
Research Article
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Summary:A linear second-order discrete-delayed equation with a positive coefficient is considered for . This equation is known to have a positive solution if fulfils an inequality. The goal of the paper is to show that, in the case of the opposite inequality for , all solutions of the equation considered are oscillating for .
ISSN:1687-1839
1687-1847
DOI:10.1155/2010/693867