Copyright © 2005 Published by Elsevier Ltd.
New kamenev-type oscillation criteria for second-order differential equations on a measure chain
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






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