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Computers & Mathematics with Applications
Volume 50, Issues 8-9, October-November 2005, Pages 1211-1230
 
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doi:10.1016/j.camwa.2005.07.002    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Published by Elsevier Ltd.

New kamenev-type oscillation criteria for second-order differential equations on a measure chain

A. Del MedicoE-mail The Corresponding Author and Qingkai KongE-mail The Corresponding Author

Department of Mathematical Sciences Northern Illinois University, DeKalb, IL 60115, U.S.A.

Received 1 December 2004; 
accepted 1 July 2005. 
Available online 7 December 2005.

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Abstract

We establish new Kamenev-type criteria for oscillation of the second-order linear differential equation, (p(t)xΔ(t))Δ + q(t)x(σ(t)) = 0, on a measure chain. Our results are extensions of those for differential equations and provide new oscillation criteria for difference equations. Several examples are given to show the significance of the results.

Keywords: Time scales; Measure chains; Oscillation; Kamenev criterion; Interval criteria


Computers & Mathematics with Applications
Volume 50, Issues 8-9, October-November 2005, Pages 1211-1230
 
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