New Oscillation Criteria for Second‐Order Neutral Delay Differential Equations with Positive and Negative Coefficients

Yuzhen Bai and Lihua Liu

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We establish the oscillation and asymptotic criteria for the second‐order neutral delay differential equations with positive and negative coefficients having the forms [x(t) + ∑i∈Rci(t)x(αi(t))] ′′ + r(t)[x(t) + ∑i∈Rci(t)x(αi(t))] ′ + ∑i∈Ppi(t)x(βi(t)) − ∑i∈Qqi(t)x(γi(t)) = 0 and [x(t) + ∑i∈Rci(t)x(αi(t))] ′′ + r(t)[x(t) + ∑i∈Rci(t)x(αi(t))] ′ + ∑i∈Ppi(t)x(βi(t)) − ∑i∈Qqi(t)x(γi(t)) = f(t). The obtained new oscillation criteria extend and improve the recent results given in the paperof B. Karpuz et al. (2009).

Date: 2010
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https://doi.org/10.1155/2010/564068

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:564068

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