Oscillation for second order nonlinear differential equations with a sub-linear neutral term

Date

2022-07-19

Authors

Wu, Yingzhu
Yu, Yuanhong
Xiao, Jinsen

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We study the oscillatory behavior of solution to the second order nonlinear differential equations with a sub-linear neutral term (ɑ(t)[x(t) + p(t)xɑ (τ(t)))′]γ)′ + q(t)xβ (σ(t)) = 0, t ≥ t0 > 0. A new criterion is established that improves related results reported in the literature. Moreover, some examples are provided to illustrate the main results.

Description

Keywords

Neutral differential equation, Sub-linear neutral term, Oscillation

Citation

Wu, Y., Yu, Y., & Xiao, J. (2022). Oscillation for second order nonlinear differential equations with a sub-linear neutral term. Electronic Journal of Differential Equations, 2022(53), pp. 1-13.

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Attribution 4.0 International

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