Stability and Boundedness Results for Solutions of Certain Third Order Nonlinear Vector Differential Equations

被引:0
作者
Cemil Tunç
Muzaffer Ateş
机构
[1] Yüzüncü Yıl University,Department of Mathematics, Faculty of Arts and Sciences
[2] Yüzüncü Yıl University,Van Technical High School
来源
Nonlinear Dynamics | 2006年 / 45卷
关键词
boundedness; differential equation of third order; Lyapunov function; stability;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we investigate the asymptotic stability of the zero solution and boundedness of all solutions of a certain third order nonlinear ordinary vector differential equation. The results are proved using Lyapunov’s second (or direct method). Our results include and improve some well known results existing in the literature.
引用
收藏
页码:273 / 281
页数:8
相关论文
共 20 条
[1]  
Feng C. H.(1993)On the existence of almost periodic solutions of nonlinear third-order differential equations Annals of Differential Equations 9 420-424
[2]  
Mehri B.(1990)Periodic solution for certain nonlinear third order differential equations Indian Journal of Pure and Applied Mathematics 21 203-210
[3]  
Mehri B.(1997)Periodic solutions of certain third order nonlinear differential equations Studia Scientiarum Mathematicarum Hungarica 33 345-350
[4]  
Shadman D.(2003)Asymptotic behavior of a third-order nonlinear differential equation Journal of Mathematical Analysis and Applications 284 191-205
[5]  
Qian C.(1995)On the periodic solutions of certain nonlinear third order differential equations Zeitschrift für Angewandte Mathematik und Mechanik 75 164-166
[6]  
Shadman D.(1983)On the construction of globally asymptotically stable Lyapunov functions for a type of nonlinear third-order system Acta Mathematicae Applicatae Sinica 6 309-323
[7]  
Mehri B.(1985)Boundedness of the solutions of certain third-order vector differential equations Annals of Differential Equations 1 127-139
[8]  
Wang L.(1983)Ultimate boundedness results for a certain system of third-order nonlinear differential equations Journal of Mathematical Analysis and Applications 97 140-150
[9]  
Wang M. Q.(1966)Boundedness and periodicity of solutions of a certain system of third-order non-linear differential equations Annali di Matematica Pura ed Applicata 74 283-316
[10]  
Abou-El-Ela A. M. A.(1995)On the existence of periodic solutions for a certain system of third order nonlinear differential equations Annals of Differential Equations 11 264-269