二阶非线性中立型时标动态方程趋向于零的非振动解的存在性

Abstract

Abstract:

In this paper, a class of second-order nonlinear neutral dynamic equations on time scales are considered. We present some sufficient conditions for the existence of nonoscillatory solutions tending to zero of the equations by employing a Banach space and Krasnoselskii's fixed point theorem. In addition, two examples are provided to illustrate the applications of the conclusions.

Key words: Nonoscillatory solutions, Tending to zero, Neutral dynamic equations, Second-order, Time scales

CLC Number:

O175

Yangcong Qiu,Qiru Wang. Existence of Nonoscillatory Solutions Tending to Zero of Second-Order Neutral Dynamic Equations on Time Scales[J].Acta mathematica scientia,Series A, 2021, 41(2): 382-387.

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References 13

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Existence of Nonoscillatory Solutions Tending to Zero of Second-Order Neutral Dynamic Equations on Time Scales

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