时间轴上二阶非线性非自治延迟动力系统的振动性

Abstract

Abstract:

The oscillatory behavior of a class of second-order nonlinear nonautonomous variable delay damped dynamic equations are studied on a time scale T, where the equations are noncanonical form. By using the generalized Riccati transformation, and the time scales theory and the classical inequality, we establish some new oscillation criteria for the equation. The results fully reflect the influential actions of delay functions and damping terms in system oscillation. Finally, some examples are given to show that our results extend, improve and enrich those reported in the literature, and that they have good effectiveness and practicability.

Key words: Oscillation, Time scales, Emden-Fowler dynamic equations, Riccati transformation

CLC Number:

O175.1

Ping Zhang,Jiashan Yang,Guijiang Qin. Oscillation of Second-Order Nonlinear Nonautonomous Delay Dynamic Equations on Time Scales[J].Acta mathematica scientia,Series A, 2022, 42(3): 839-850.

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References 20

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Oscillation of Second-Order Nonlinear Nonautonomous Delay Dynamic Equations on Time Scales

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