STABILITY OF SOLUTIONS TO CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS 被引量：2

STABILITY OF SOLUTIONS TO CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS

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摘要 By the Lyapunov functional approach, some better results on the asymptotic stabiBy the Lyapunov functional approach, some better results on the asymptotic stability and global asymptotic stability of zero solution to a certain fourth-order non-linear differential equation with delay are obtained. By the Lyapunov functional approach, some better results on the asymptotic stabiBy the Lyapunov functional approach, some better results on the asymptotic stability and global asymptotic stability of zero solution to a certain fourth-order non-linear differential equation with delay are obtained.

作者 Huiyan Kang (School of Math. and Physics, Changzhou University, Changzhou 213016, Jiangsu) Ligeng Si (Dept. of Math., Inner Mongolia Normal University, Huhhot 010020)

出处《Annals of Differential Equations》 2010年第4期407-413,共7页 微分方程年刊（英文版）

基金 supported by the National Natural Science Foundation of China(10461006) Basic Subject Foundation of Changzhou University(JS201004)

关键词 non-linear delay differential equation of fourth order stability Lyapunov functions non-linear delay differential equation of fourth order stability Lyapunov functions

分类号 O175 [理学—基础数学]

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参考文献17

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共引文献18

1A.M.A. Abou-El-Ela,A.I. Sadek,A.M. Mahmoud.ON THE STABILITY OF SOLUTIONS TO A CERTAIN FOURTH-ORDER VECTOR DELAY DIFFERENTIAL EQUATION[J].Annals of Differential Equations,2012,28(1):1-10.
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同被引文献5

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3Cemil Tunc.ON STABILITY OF SOLUTIONS OF CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2006,27(8):1141-1148. 被引量：5
4西密尔通兹.一类非自治四阶微分方程解的一致有界性[J].应用数学和力学,1999,20(6):585-591. 被引量：2
5Akinwale L. Olutimo,Daniel O. Adams.On the Stability and Boundedness of Solutions of Certain Non-Autonomous Delay Differential Equation of Third Order[J].Applied Mathematics,2016,7(6):457-467. 被引量：2

引证文献2

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2Meilan Cai,Fanwei Meng.STABILITY AND BOUNDEDNESS OF SOLUTIONS FOR A CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATION[J].Annals of Applied Mathematics,2018,34(4):345-357.

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3A.M.A.Abou-El-Ela,A.I.Sadek,A.M.Mahmoud,E.S.Farghaly.STABILITY OF SOLUTIONS FOR CERTAIN THIRD-ORDER NONLINEAR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS[J].Annals of Applied Mathematics,2015,31(3):253-261.
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