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Oscillation Criteria for Second‐Order Nonlinear Dynamic Equations on Time Scales

Shao-Yan Zhang and Qi-Ru Wang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: This paper is concerned with oscillation of second‐order nonlinear dynamic equations of the form (r(t)((y(t)+p(t)y(τ(t))) Δ)γ)Δ+f1(t,y(δ1(t)))+f2(t,y(δ2(t)))=0 on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria.

Date: 2012
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https://doi.org/10.1155/2012/743469

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