Cemil Tun, . On the Boundedness and Periodicity of the Solutions of a Certain Vector Differential Equation of Third-Order[J]. Applied Mathematics and Mechanics, 1999, 20(2): 153-160.
Citation: Cemil Tun, . On the Boundedness and Periodicity of the Solutions of a Certain Vector Differential Equation of Third-Order[J]. Applied Mathematics and Mechanics, 1999, 20(2): 153-160.

On the Boundedness and Periodicity of the Solutions of a Certain Vector Differential Equation of Third-Order

  • Received Date: 1997-08-16
  • Publish Date: 1999-02-15
  • There are given sufficient conditions for the ultimate boundedness of solutions and for the existence of periodic solutions of a certain vector differential equation of third order.
  • loading
  • [1]
    Reissig R, Sansone G, Conti R. Nonlinear Differential Equations of Higher Order[M]. Noordhoff International Publishing, 1974
    [2]
    Afuwape A U. Ultimate boundedness results for a certain system of third order nonlinear differential equations[J].J Math Anal Appl,1983,97:140~150
    [3]
    Ezeilo J O C. J Math Anal Appl,1967,18:395~416
    [4]
    Ezeilo J O C. New properties of the equation for certain special values of the incrementary ratio y-1{h(x+εy)-h(x)[A]. In:P Janssens,J Mawhin, N Rouche eds.Equations Differentielles et Fonctionelles Nonlineaires[C].Paris: Hermann,1973,447~462
    [5]
    Ezeilo J O C, Tejumola H O. Atti Accad Naz Lincei Renol Cl Sci Fis Mat Natur[M].1975,50:143~151
    [6]
    Meng F W. Ultimate boundedness results for a certain system of third order nonlinear differential equations[J].J Math Anal Appl,1993,177:496~509
    [7]
    Tun C. A global stability result for a certain system of fifth order nonlinear differential equations[J].University of Marmara, The Journal of Sciences,10 (in Press)
    [8]
    Tun C. Boundedness and stability results for a certain system of fifth order nonlinear differential equations[J].University of Istanbul, Faculty of Science, The Journal of Mathematics (to appear)
    [9]
    Browder F E. On a generalization of the Schauder fixed point theorem[J].Duke Math J,1959,26:291~303
    [10]
    Tiryaki A, Tun C. Boundedness and stability properties of solutions of certain fourth order differential equations via the intrinsic method[J].Analysis,1996,16:325~334
    [11]
    Tun C. A ultimate boundedness result for the solutions of certain fifth order nonlinear differential equations[J].PUJM,1997,30
    [12]
    Yoshizawa T. Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions[M].New York/Heidelberg:Springer-Verlag,1978
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2052) PDF downloads(725) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return