时间模上一类二阶阻尼Emden-Fowler型动态方程的振荡性

Abstract

Abstract: The oscillation for certain second-order nonlinear neutral variable delay Emden-Fowler dynamic equations with damping on time scales is discussed. By using the time scales theory and the generalized Riccati transformation and the inequality technique, we establish six new oscillation criteria for the equations. Our results extend and improve some known results, but also unify the oscillation of second-order nonlinear damped Emden-Fowler differential equations and difference equations. Two examples are given to illustrate the main results of this article.

Key words: Oscillation, Neutral dynamic equations, Time scales, Damping term, Variable delay

CLC Number:

O175.7

Yang Jiashan, Li Tongxing. Oscillation for a Class of Second-Order Damped Emden-Fowler Dynamic Equations on Time Scales[J].Acta mathematica scientia,Series A, 2018, 38(1): 134-155.

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References

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Oscillation for a Class of Second-Order Damped Emden-Fowler Dynamic Equations on Time Scales

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