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一类二阶非线性时标动态方程新的Kamenev型振动准则 被引量:2

New Kamenev-Type Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales
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摘要 主要利用H(t,s,t0)型函数和广义Riccati变换技巧,给出了一类二阶非线性时标动态方程(p(t)ψ(x(t))xΔ(t))Δ+f(t,x(σ(t)))=0新的Kamenev型振动准则。 By using functions of the form H(t,s,t0 )and a generalized Riccati transformation technique, new Kamenev-type oscillation criteria are established for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))xΔ(t))Δ+f(t,x(σ(t)))=0.
出处 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第6期26-29,33,共5页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 国家自然科学基金资助项目(11271379)
关键词 二阶非线性时标动态方程 Kamenev型 振动准则 广义Riccati技巧 second-order nonlinear dynamic equations on time scales Kamenev-type oscillation crite-ria generalized Riccati technique
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