时间测度链上具正负系数的二阶阻尼动力方程的振动准则

Abstract

Abstract:

The oscillation for certain second-order nonlinear variable delay dynamic equations with positive and negative coefficients and damping and nonlinear neutral on time scales is discussed. By using the time scales theory and the generalized Riccati transformation and the inequality technique, we establish some new oscillation criteria for the inequations. Our results extend and improve some known results, but also unify the oscillation of second-order nonlinear delay differential equations with damping and second-order nonlinear delay difference equations with damping.

Key words: Oscillation, Dynamic equations, Time scales, Positive and negative coefficients, Damping, Nonlinear neutral

CLC Number:

34k11

YANG Jia-Shan. Oscillation Criteria for Second-Order Dynamic Equations with Positive and Negative Coefficients and Damping on Time Scales[J].Acta mathematica scientia,Series A, 2014, 34(2): 393-408.

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Oscillation Criteria for Second-Order Dynamic Equations with Positive and Negative Coefficients and Damping on Time Scales

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