On the Asymptotic Behaviour of Solutions of Certain Fifth-Order Ordinary Differential Equations
-
摘要: 给出了一类五阶常微分方程所有解一致有界和当t→∞时收敛于零的充分条件。得到的结果包含并改善了Abou-El-Ela和Sadek1999年关于非自治微分方程渐近解的结果。Abstract: The sufficient conditions are given for all solutions of certain non-autonomous differential equation to be uniformly bounded and convergence to zero as t→∞.The result given includes and improves that result obtained by Abou-El-Ela & Sadek.
-
Key words:
- asymptotic behaviour /
- boundedness /
- convergence
-
[1] Reissing R,Sansone G,Conti R.Nonlinear Differential Equations of Higher Order[M].Groningen: Noordhoff,1974. [2] Abou-el-ela A M A,Sadek A I.On the asymptotic behaviour of solutions of certain non-autonomous differential equations[J].J Math Anal Appl,1999,237:360-375. [3] Yoshizawa T.Stability Theorem by Liapunov Second Method[M].Tokyo:The Mathematical Society of Japan,1966. [4] Abou-el-ela A M A,Sadek A I.On complete stability of the solutions of nonlinear differential equations of the fifth-order[A].In:Proceedings of the Assiut First International Conference[C].Assiut:Assiut University,1990,14-25. [5] Abou-el-ela A M A,Sadek A I.On boundedness and periodicity of certain differential equation of the fifth-order[J].Z Anal Anwendungen,1992,11(2):237-244. [6] Chukwu E N.On boundedness and stability of some differential equation of the fifth-order[J].SIAM J Math Anal,1976,7(2):176-194. [7] Hara T.On the asymptotic behaviour of the solutions of some third and fourth order non-autonomous differential equations[J].Publ Res Inst Math Sci,1973/74,9:649-673. [8] Tunc C.Boundedness and periodicity of fifth-order non-linear differential equations[J].Bull Greek Math Soc,2000,43:55-69. [9] Tunc C.A study of the stability and boundedness of the solutions of nonlinear differential equation of the fifth-order[J].Indian J Pure Appl Math,2002,33(4):519-529.
计量
- 文章访问数: 2291
- HTML全文浏览量: 126
- PDF下载量: 593
- 被引次数: 0