关于一类五阶常微分方程解的渐近性质

On the Asymptotic Behaviour of Solutions of Certain Fifth-Order Ordinary Differential Equations

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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·　 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.

作者西密尔.通兹

机构地区玉珍翠延大学教育学院数学系

出处《应用数学和力学》 EI CSCD 北大核心 2003年第8期791-798,共8页 Applied Mathematics and Mechanics

关键词渐近性质有界性收敛性 asymptotic behaviour boundedness convergence

分类号 O175 [理学—基础数学]

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1Reissing R, Sansone G,Conti R. Nonlinear Differential Equations of Higher Order[ M]. Gmningen:Noordhoff, 1974.
2Abou-el-ela A M A,Sadek A I. On the asymptotic behaviour of solutions of certain non-automous differential equations[ J]. J Math Anal Appl, 1999,237: 360---375.
3Yoshizawa T. Stability Theorem by Liapunov Second Method[ M]. Tokyo: The Mathematical Societyof Japan, 1966.
4Abou-el-ela A M A,Ssdek 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.
5Abou-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.
6Chukwu E N.On boundedness and stability of some diffexential equation of the fifth-order[J] .SIAM J Math Anal, 1976,7(2) : 176--194.
7Hara 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.
8Tunc C. Boundedness and periodicity of fifth-order non-linear differential equations[J] .Bull Greek Math Soc ,2000,43:55--69.
9Tunc C.A study of the stability and boundedness of the solutions of nonlinear differenl equation of the fifth-order[J]. Indian J Pure Appl Math ,2002,33(4) :519---529.

1胡爱莲.一类四阶微分方程的全局渐近稳定性[J].喀什师范学院学报,1999,19(2):27-30.
2刘俊.一类三阶非自治微分方程解的渐近性态[J].四川师范大学学报（自然科学版）,2000,23(2):138-141.
3沙红科.一类二阶非线性非自治微分方程周期解的存在唯一性[J].数学的实践与认识,2003,33(8):78-83.
4张荣荣,秦宏立,薛巧梅.对n维非自治微分方程稳定性若干定理的推广[J].西南民族大学学报（自然科学版）,2009,35(1):63-66.
5赵晓强.稳定性理论中两个新定理[J].纯粹数学与应用数学,1989,5(5):81-82.
6贾保国.非自治微分方程解的最终有界性[J].河北地质学院学报,1995,18(5):399-405.
7刘锡平,贾梅,葛渭高.一类非自治迭代泛函微分方程[J].高校应用数学学报（A辑）,1998,13(3):249-256. 被引量：11
8曾意.Banach空间中半线性非自治微分方程的概自守解[J].内江师范学院学报,2017,32(4):38-41.
9李万同,洪小波.非自治二阶微分方程周期解的存在唯一性[J].甘肃工业大学学报,1999,25(2):99-103.
10张惠英.时滞n阶非线性非自治微分方程周期解的存在性[J].福州大学学报（自然科学版）,2004,32(5):517-521.

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