Asymptotic Behavior of the Solutions of Nonlinear Systems of Ordinary Differential Equations

被引:0
作者
Evtukhov V.M. [1 ]
Talimonchak M.A. [1 ]
机构
[1] Mechnikov Odessa National University Ukraine, 2 Dvoryanskaya Str., Odessa
关键词
Ordinary Differential Equation; Asymptotic Behavior; Nonlinear System; Vector Function; English Translation;
D O I
10.1007/s10958-015-2466-6
中图分类号
学科分类号
摘要
We establish asymptotic representations for a class of solutions of nonlinear systems of ordinary differential equations asymptotically close to cyclic systems. © 2015, Springer Science+Business Media New York.
引用
收藏
页码:535 / 550
页数:15
相关论文
共 6 条
[1]  
Vladova O.S., Asymptotic representations of the solutions of cyclic systems of differential equations with regularly varying nonlinearities, Visn. Odes. Nats. Univ., Ser. Mat. Mekh, 15, Issue 19, pp. 33-56, (2010)
[2]  
Evtukhov V.M., Vladova O.S., Asymptotic representations of the solutions of essentially nonlinear cyclic systems of ordinary differential equations, Differents. Uravn., 48, 5, pp. 622-639, (2012)
[3]  
Evtukhov V.M., Vladova O.S., On the asymptotics of solutions of nonlinear cyclic systems of ordinary differential equations in special cases, Mem. Different. Equat. Math. Phys., 54, pp. 1-25, (2011)
[4]  
Seneta E., ”Regularly Varying Functions,” in: Lecture Notes in Math., 508, (1976)
[5]  
Evtukhov V.M., Samoilenko A.M., Asymptotic representations for the solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities, Differents. Uravn., 47, 5, pp. 628-650, (2011)
[6]  
Kuguradze I.T., Chanturiya T.A., Asymptotic Properties of the Solutions of Nonautonomous Ordinary Differential Equations [in Russian], (1990)