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三阶半线性中立型微分方程的振动性 被引量:2

Oscillation for Third Order Semi-linear Neutral Differential Equations
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摘要 研究了一类三阶半线性中立型微分方程,利用广义Riccati变换和微分不等式,得到了该类方程一切解振动或者收敛到零的若干充分条件. A class of the third order semi-linear neutral differential equation is studied, some new sufficient conditions which insure any solution of the equation oscillates or converges to zero are obtained by using the generalized Riccati transformation and differential inequality.
出处 《北华大学学报(自然科学版)》 CAS 2012年第3期267-270,共4页 Journal of Beihua University(Natural Science)
基金 湖南省自然科学基金资助项目(09jj6004) 湖南省教育厅科研计划项目(09C171)
关键词 半线性 中立型方程 RICCATI变换 微分不等式 振动性 semi-linear neutral equation Riecati transformation differential ineauality oscillation
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