On the Stability of Solutions of Nonlinear Functional Differential Equation of the Fifth-Order
On the Stability of Solutions of Nonlinear Functional Differential Equation of the Fifth-Order
摘要
The main purpose of this paper is to investigate global asymptotic stability of the zero solution of the fifth-order nonlinear delay differential equation on the following form By constructing a Lyapunov functional, sufficient conditions for the stability of the zero solution of this equation are established.
The main purpose of this paper is to investigate global asymptotic stability of the zero solution of the fifth-order nonlinear delay differential equation on the following form By constructing a Lyapunov functional, sufficient conditions for the stability of the zero solution of this equation are established.
二级参考文献31
-
1Bereketoglu H. Asymptotic stability in a fourth order delay differential equation[ J]. Dynam Systems Appl, 1998,7( 1 ) : 105-115.
-
2Burton T A. Volterra Integral and Differential Equations[M] .New York:Academic Press, 1983.
-
3Burton T A. Stability and Periodic Solutions of Ordinary and Functional Differential Equations[M]. Orlando:Academic Press, 1985.
-
4Burton T A,Zhang S N. Unified boundedness, periodicity, and stability in ordinary and functionaldifferential equations[J] .Ann Mat Pura Appl, 1986,145(4):129-158.
-
5Chukwu E N. On the boundedness and stability properties of solutions of some differential equations of the fifth order[ J]. Ann Mat Pura Appl, 1975,106(4) :245-258.
-
6Chukwu E N. On the boundedness and stability of solutions of some differential equations of the fifth order[J]. SIAM J Math Anal, 1976,7(2), 176-194.
-
7Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics[M]. Dordrecht: Kluwer Academic Publishers Group, 1992.
-
8Hale J . Theory of Functional Differential Equqtions[M] .New York,Heidelberg:Springer-Verlag, 1977.
-
9Harrow M. A stability result for solutions of certain fourth order honmogeneous differential equations[J]. J London Math Soc, 1967,42:51-56.
-
10Harrow M. On the boundedness and the stability of solutions of some differential equations of the fourth order[J]. SIAM J Math Anal, 1970,1: 27-32.
共引文献3
-
1覃荣存,刘佳玉,刘春燕.一类四阶非线性系统零解的稳定性[J].梧州学院学报,2009,19(3):14-18. 被引量：1
-
2曾力,周宗福.一类四阶非线性泛函微分方程的周期解[J].科学技术与工程,2010,10(2):356-359.
-
3董彪,蒋自国,蒲志林.一类四阶非线性微分方程的渐近稳定性[J].重庆师范大学学报（自然科学版）,2015,32(1):92-95. 被引量：2
-
1Yafei Yang,Yuanfu Shao,Mengwei Li.Periodic Solution for a Stochastic Predator-Prey Model with Impulses and Holling-II Functional Response[J].Journal of Applied Mathematics and Physics,2019,7(10):2212-2230.
-
2Prasanta Kumar Nandi,Ganesh Chandra Gorain,Samarjit Kar.A Note on Stability of Longitudinal Vibrations of an Inhomogeneous Beam[J].Applied Mathematics,2012,3(1):19-23. 被引量：1
-
3Quanxin Zhang,Li Gao.New Oscillation Criteria of Second-Order Nonlinear Delay Dynamic Equations on Time Scales[J].Applied Mathematics,2014,5(21):3474-3483. 被引量：6
-
4Sun-Hye Park,Jong-Yeoul Park,Yong-Han Kang.Energy Decay for a Von Karman Equation of Memory Type with a Delay Term[J].Journal of Applied Mathematics and Physics,2017,5(9):1797-1807.
-
5Zhenguo Luo,Jianhua Huang,Liping Luo,Binxiang Dai.Existence and Uniqueness of Positive (Almost) Periodic Solutions for a Neutral Multi-Species Logarithmic Population Model with Multiple Delays and Impulses[J].Open Journal of Applied Sciences,2013,3(2):247-262.
