Oscillation criteria of second order nonlinear neutral differential equations with damping terms

Oscillation criteria of second order nonlinear neutral differential equations with damping terms

The purpose of this paper is to establish some new oscillation criteria for the second-order nonlinear neutral differential equations with damping terms which have the form [a(t)|z'(t)|α-1z'(t)]'+b(t)|z'(t)|α-1z'(t)+q(t)|x(σ(t))|β-1x(σ(t))=0, where z(t)=x(t)+p(t)x(τ(t)). Our...

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Veröffentlicht in:Xi'an Tiyu Xueyuan Xuebao 2024-01, Vol.41 (1), p.5
Hauptverfasser: Zeng, Yunhui, Sun, Wenjie, Luo, Liping, Yu, Yuanhong
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Luo, Liping
Yu, Yuanhong
description The purpose of this paper is to establish some new oscillation criteria for the second-order nonlinear neutral differential equations with damping terms which have the form [a(t)|z'(t)|α-1z'(t)]'+b(t)|z'(t)|α-1z'(t)+q(t)|x(σ(t))|β-1x(σ(t))=0, where z(t)=x(t)+p(t)x(τ(t)). Our theorems improve, extent and unify a number of related results reported in the literature. The wide application of the obtained criteria is illustrated via examples.
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title Oscillation criteria of second order nonlinear neutral differential equations with damping terms
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