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Research on Oscillation of Higher-Order Nonlinear Neutral Differential Equations with Forced Terms

Peiying Wang

Abstract


This article is mainly to develop a solution to the high-order nonlinear neutral differential equations with forced terms, analyze the oscillation criteria and related conditions of the differential equations, and finally obtain the bounded oscillation of the equation under different conditions using fixed point theorem and techniques. Examples are used to verify the analysis.

Keywords


Differential Equations; Oscillation; Higher-order Non-linearity; Research

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References


[1] Li J, Cai H, Wang P. Oscillation of high-order nonlinear neutral differential equations with forced terms. Journal of Hebei University (Natural Science Edition) 2019; 3902: 118-123.

[2] Zhang H, Li Y. Positive periodic solutions of higher-order ordinary differential equations with derivative terms of time delay. Journal of Shandong University (Science Edition) 2019; 5404: 29-36.

[3] Wu A, You S. Existence and uniqueness of a class of neutral hybrid stochastic differential equations. Basic Science Journal of Textile Universities 2019; 3201: 50-56.

[4] Zhang S. Non-oscillation of high-order neutral difference equations. Journal of Taiyuan Teachers College (Natural Science Edition) 2019; 1802: 19-21+27.

[5] You S, Sun S. General decay rate analysis of a class of higher-order nonlinear stochastic differential equations with delay. Journal of Donghua University (Natural Science Edition); 1-7.




DOI: http://dx.doi.org/10.18686/ahe.v4i7.2460

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