二阶拟线性微分方程的振动准则

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1Institute of Sciences, Railway Campus, Central South University, Changsha 410075


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Some oscillation criteria for the second order quasilinear differential equations [r(t)|x′(t)|α-1x′(t)]′ + F(t, x(t), x(τ(t)), x′(t), x′(τ(t))) = 0, t ≥ to are given. Our results generalize and improve some known results for cither differential equations or delay differential equations.

[1] Yuri V. Rogovchenko .Oscillation Criteria for Certain Nonlinear Differential Equations[J].Journal of Mathematical Analysis and Applications,1999(2):399-416.

[6] Wong PJY.;Agarwal RP. .OSCILLATORY BEHAVIOR OF SOLUTIONS OF CERTAIN SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS[J].Journal of Mathematical Analysis and Applications,1996(2):337-354.


语种: 英文   

基金国家自然科学基金(19871006)


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