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一类四阶非自治微分方程解的有界和一致有界性

西密尔·通兹

西密尔·通兹. 一类四阶非自治微分方程解的有界和一致有界性[J]. 应用数学和力学, 2001, 22(11): 1147-1152.
引用本文: 西密尔·通兹. 一类四阶非自治微分方程解的有界和一致有界性[J]. 应用数学和力学, 2001, 22(11): 1147-1152.
Cemil Tun. Boundedness and Uniform Boundedness Results for Certain Non-Autonomous Differential Equations of Fourth Order[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1147-1152.
Citation: Cemil Tun. Boundedness and Uniform Boundedness Results for Certain Non-Autonomous Differential Equations of Fourth Order[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1147-1152.

一类四阶非自治微分方程解的有界和一致有界性

详细信息
  • 中图分类号: O175.14

Boundedness and Uniform Boundedness Results for Certain Non-Autonomous Differential Equations of Fourth Order

  • 摘要: 获得了一个四阶非线性微分方程的所有解是有界和一致有界的充分条件。
  • [1] Liapunov A M. Stability of Motion[M]. London: Academic Press,1966.
    [2] Reissig R, Sansone G, Conti R. Nonlinear Differential Equations of Higher Order[M]. Noordhoff International Publishing,1974.
    [3] Abou-EI-EIa A M A, Sadek A I. On the asymptotic behaviour of solutions of some differential equations of the fourth order[J]. Ann Differential Equations,1992,8(1):1-12.
    [4] Hara T. On the asymptotic behavior of the solutions of some third and fourth order non-autonomous differential equations[J]. Publ RIMS Kyoto Univ,1974,9:649-673.
    [5] JIN Jun. On the uniform boundedness of the solution of the non-linear differential equation of the fourth order[J]. Ann Differential Equations,1988,4(2):159-171.
    [6] Saded A I. On the asymptotic behaviour of solutions of certain fourth order ordinary differential equations[J]. Math Japon,1997,45(3):527-540.
    [7] Tunc,, C. On the asymptotic behaviour of solutions of some differential equations of the fourth order[J]. Studia Univ Babes-Bolyai Math,1994,39(2):87-96.
    [8] Tunc,, C. On the asymptotic behaviour of solutions of certain fourth order non-autonomous differential equations[J]. Studia Univ Babes-Bolyai Math,1996,41(3):95-105.
    [9] Tunc,, C. On the uniform boundedness of solutions of some non-autonomous differential equations of the fourth order[J]. Appl Math Mech(English Ed),1999,20(6):622-628.
    [10] Lasalle J, Lefschetz S. Stability by Liapunov's Direct Method With Applications[M]. New York: Academic Press,1961.
    [11] Yoshizawa T. Stability theory by Liapunov's second method[Z]. The Mathematical Society of Japan,1966.
    [12] Ezeilo J O C. On the boundedness and the stability of solutions of some differential equations of the fourth order[J]. J Math Anal Appl,1962,5:136-146.
    [13] LU Ting-he, SHEN Jia-qi, JIN Jun. Construction and applications of Liapunov's functions for differential equations of fourth order[J]. Journal of Shanghai Teachers University,1982,11(2).
    [14] QIN Yuan-xun, WANG Lian, WANG Mu-qin. Theory and Application of Motion Stability[M]. Beijing: Science Press,1981.
    [15] SHEN Jia-qi, LU Ting-he, JIN Jun. The construction of Liapunov's function of certain fourth order differential equations[J]. Journal of Shanghai Teachers University, 1983,12(2).
    [16] Yoshizawa T. Liapunov's function and boundedness of solutions[J]. Funkcialaj Ekvacioj,1959,(2).
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出版历程
  • 收稿日期:  2000-11-13
  • 修回日期:  2001-04-08
  • 刊出日期:  2001-11-15

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