ON STABILITY OF SOLUTIONS OF CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS 被引量：5

ON STABILITY OF SOLUTIONS OF CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS

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摘要 By the use of the Liapunov functional approach, a new result is obtained to ascertain the asymptotic stability of zero solution of a certain fourth-order non-linear differential equation with delay. The established result is less restrictive than those reported in the literature. By the use of the Liapunov functional approach, a new result is obtained to ascertain the asymptotic stability of zero solution of a certain fourth-order non-linear differential equation with delay. The established result is less restrictive than those reported in the literature.

作者 Cemil Tunc

机构地区 Department of Mathematics

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第8期1141-1148,共8页 应用数学和力学（英文版）

关键词 non-linear delay differential equations of fourth order STABILITY Liapunov functional approach non-linear delay differential equations of fourth order stability Liapunov functional approach

分类号 O175.13 [理学—基础数学]

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参考文献2

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同被引文献34

1Huiyan Kang (School of Math. and Physics, Changzhou University, Changzhou 213016, Jiangsu) Ligeng Si (Dept. of Math., Inner Mongolia Normal University, Huhhot 010020).STABILITY OF SOLUTIONS TO CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2010,26(4):407-413. 被引量：2
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3A.I.Sadek,A.S.AL-Elaiw.ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS OF A CERTAIN FOURTH-ORDER DIFFERENTIAL EQUATION[J].Annals of Differential Equations,2004,20(3):221-234. 被引量：2
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引证文献5

1Huiyan Kang (School of Math. and Physics, Changzhou University, Changzhou 213016, Jiangsu) Ligeng Si (Dept. of Math., Inner Mongolia Normal University, Huhhot 010020).STABILITY OF SOLUTIONS TO CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2010,26(4):407-413. 被引量：2
2A.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.
3杨纪华.一类四阶时滞微分方程的稳定性和分支分析(英文)[J].应用数学,2013,26(3):526-537. 被引量：1
4蔡梅兰,孟凡伟.具有多重时滞的四阶微分方程解的稳定性（英文）[J].曲阜师范大学学报（自然科学版）,2018,44(2):1-9.
5Meilan 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.

二级引证文献3

1蔡梅兰,孟凡伟.具有多重时滞的四阶微分方程解的稳定性（英文）[J].曲阜师范大学学报（自然科学版）,2018,44(2):1-9.
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.
3李文娟,牛潇萌,俞元洪,李旭超.时滞类Lorenz系统的Hopf分岔[J].生物数学学报,2017,32(2):217-224. 被引量：4

1A.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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4Cemil Tun.ON THE INSTABILITY OF SOLUTIONS TO A NONLINEAR VECTOR DIFFERENTIAL EQUATION OF FOURTH ORDER[J].Annals of Differential Equations,2011,27(4):418-421.
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6ZHANG Jianlin,QIN Yuming,CAO Jie.Remarks on Exponential Stability of Solutions for the Compressible p-th Power Newtonian Fluid with Large Initial Data[J].Journal of Partial Differential Equations,2016,29(4):286-301.
7李现今,蔡晓静.THE GLOBAL L^2 STABILITY OF SOLUTIONS TO THREE DIMENSIONAL MHD EQUATIONS[J].Acta Mathematica Scientia,2013,33(1):247-267. 被引量：1
8Yu HAN,Nanjing HUANG,Jue LU,Yibin XIAO.Existence and stability of solutions to inverse variational inequality problems[J].Applied Mathematics and Mechanics(English Edition),2017,38(5):749-764.
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10Zeng Xiaoyun Shi Bao Zhang Decun (Institute of Applied Math., Naval Aeronautical Engineering Institute, Yantai 264001).STABILITY OF SOLUTIONS FOR THE RECURSIVE SEQUENCE x_(n+1) =α-βx_n/γ+g(x_(n-1),…,x_(n-k))[J].Annals of Differential Equations,2006,22(3):430-435.

Applied Mathematics and Mechanics(English Edition)

2006年第8期

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ON STABILITY OF SOLUTIONS OF CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS 被引量：5

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