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Oscillation of Second‐Order Neutral Functional Differential Equations with Mixed Nonlinearities

Shurong Sun, Tongxing Li, Zhenlai Han and Yibing Sun

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We study the following second‐order neutral functional differential equation with mixed nonlinearities (r(t)|(u(t)+p(t)u(t-σ))′|α-1(u(t)+p(t)u(t-σ)) ′) ′+q0(t) | u(τ0(t))|α−1u(τ0(t))+q1(t) | u(τ1(t))|β−1u(τ1(t))+q2(t) | u(τ2(t))|γ−1u(τ2(t)) = 0, where γ > α > β > 0, ∫t0∞(1/r1/α(t))dt

Date: 2011
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https://doi.org/10.1155/2011/927690

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