脉冲扰动对非线性时滞双曲型分布参数系统振动的影响

Abstract

Abstract: The oscillatory behavior for a class of nonlinear impulsive delay hyperbolic distributed parameter systems with higher order Laplace operator are investigated under third boundary value condition. By employing the technique of treating higher order Laplace operator and impulsive delay differential inequality, some new explicit sufficient criteria are established for the oscillation of such systems. The conclusions obtained fully show that the oscillation is caused by impulsive perturbation and delay effect.

Key words: Oscillation, Hyperbolic distributed parameter system, Higher order Laplace operator, Nonlinear, Impulsive perturbation, Delay effect

CLC Number:

O175.27

Luo Liping, Luo Zhenguo, Deng Yihua. Effect of Impulsive Perturbations on Oscillation of Nonlinear Delay Hyperbolic Distributed Parameter Systems[J].Acta mathematica scientia,Series A, 2018, 38(2): 313-321.

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References

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Effect of Impulsive Perturbations on Oscillation of Nonlinear Delay Hyperbolic Distributed Parameter Systems

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