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具有多重时滞的四阶微分方程解的稳定性（英文）

On the Stability of Solutions to a Certain Fourth-order Delay Differential Equation with Multiple Delays
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摘要 利用Liapunov函数法,给出了具有多重时滞的四阶非线性微分方程零解渐近稳定性的充分条件. By using the Liapunov functional approach,sufficient conditions for the asymptotic stability of zero solution to a certain fourth-order non-linear differential equation with multiple delays are given.
作者 蔡梅兰 孟凡伟 CAI Mei-lan;MENG Fan-wei(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC)
机构地区 曲阜师范大学数学科学学院
出处 《曲阜师范大学学报（自然科学版）》 CAS 2018年第2期1-9,共9页 Journal of Qufu Normal University(Natural Science)
基金 National Natural Science Foundation of China(11671227)
关键词 渐进稳定性 Liapunov函数法 四阶非线性时滞微分方程 Asymptotic stability Liapunov functional approach fourth-order non-linear delay differential equation
分类号 O241.8 [理学—计算数学]
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  • 1Cemil 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
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  • 8Tun?,C.A note on the stability and boundedness results of solutions of certain fourth order differential equations. Journal of Applied Mathematics . 2004
  • 9Tun?,C.Some stability results for the solutions of certain fourth order delay differential equations. Differential Equations . 2004
  • 10Qin Y X,Liu Y Q,Wang L.Stability of Motion for Dynamic Systems with Time Delay. . 1963

共引文献5

曲阜师范大学学报（自然科学版）
2018年 第2期

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