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稳定的和不稳定的稳态轨迹

J.M.索里阿诺

J.M.索里阿诺. 稳定的和不稳定的稳态轨迹[J]. 应用数学和力学, 2005, 26(1): 47-52.
引用本文: J.M.索里阿诺. 稳定的和不稳定的稳态轨迹[J]. 应用数学和力学, 2005, 26(1): 47-52.
J. M. Soriano. Stable and Unstable Stationary Trajectories[J]. Applied Mathematics and Mechanics, 2005, 26(1): 47-52.
Citation: J. M. Soriano. Stable and Unstable Stationary Trajectories[J]. Applied Mathematics and Mechanics, 2005, 26(1): 47-52.

稳定的和不稳定的稳态轨迹

基金项目: D.G.Y.C.T.PB基金资助项目(96_1338_CO2_01);theJuntadeAndaluca基金资助项目
详细信息
    作者简介:

    J.M.索里阿诺,高级讲师,博士(E-mail:soriano@us.es).

  • 中图分类号: O175.13;O241.81

Stable and Unstable Stationary Trajectories

  • 摘要: 研究了一个特殊自治系统稳态轨迹的稳定性,并用延拓法给出了结果的证明.
  • [1] Soriano J M.Global minimum point of a convex function[J].Appl Math Comput,1993,55(2/3):213—218. doi: 10.1016/0096-3003(93)90022-7
    [2] Soriano J M.Extremum points of a convex function[J].Appl Math Comput,1994,66:261—266. doi: 10.1016/0096-3003(94)90121-X
    [3] Soriano J M.On the existence of zero points[J].Appl Math Comput,1996,79:99—104. doi: 10.1016/0096-3003(95)00246-4
    [4] Soriano J M.On the number of zeros of a mapping[J].Appl Math Comput,1997,88:287—291. doi: 10.1016/S0096-3003(96)00336-0
    [5] Soriano J M.Exstence of zeros for bounded perturbations of proper mappings[J].Appl Math Comput,1999,99:255—259. doi: 10.1016/S0096-3003(97)10183-7
    [6] Soriano J M.Mappings sharing a value on finite-dimensional spaces[J].Appl Math Comput,2001,121(2/3):391—395. doi: 10.1016/S0096-3003(00)00023-0
    [7] Soriano J M.On the Bezout theorem real case[J].Appl Nonlinear Anal,1995,2(4):59—66.
    [8] Soriano J M.On the Bezout theorem[J].Appl Nonlinear Anal,1997,4(2):59—66.
    [9] Soriano J M.Compact mappings and proper mappings beween Banach spaces that share a value[J].Math Balkanica,2000,14(1/2):161—166.
    [10] 索里阿诺 J M.具公共值的Fredholm紧映射[J].应用数学和力学,2001,22(6):609—612.
    [11] Soriano J M.Open Trajectories[J].Appl Math Comput,2001,124(2):235—240. doi: 10.1016/S0096-3003(00)00092-8
    [12] Soriano J M.Zeros of compact perturbations of proper mappings[J].Appl Nonlinear Anal,2000,7(4):31—37.
    [13] Soriano J M.On the existence of zero points of a continuous function[J].Acta Mathematical Scientia,2002,22(2):171—177.
    [14] Soriano J M.A second zero of a function[J].Appl Math Comput,2002,133:245—255. doi: 10.1016/S0096-3003(01)00237-5
    [15] Soriano J M.A stable solution[J].Appl Math Comput,2003,140:223—229. doi: 10.1016/S0096-3003(02)00196-0
    [16] Allgower E,Glashoff K,Peitgen H.A Survey of Homotopy Methods for Smooth Mappings[M].Berlin:Springer-Verlag,1981,2—29.
    [17] Allgower E,Glashoff K,Peitgen H.A survey of homotopy methods for smooth mappings[A].In:Proceedings of the Conferece on Numerical Solutions of Nonlinear Equations[C].Bremen,July,1980,Lecture Notes in Math 878[M].Berlin:Springer-Verlag,1981,1—29.
    [18] Allgower E,George K.Numerical Continuation Methods[M].Springer Series in Computational Mathematics 13,New York:Springer-Verlag,1970.
    [19] Garcia C B,Li T Y.On the number of solutions to polynomial system of nonlinear equations[J].SIAM J Numer Anal,1980,17:540—546. doi: 10.1137/0717046
    [20] Garicia C B,Zangwill W I.Determining all solutions to certain systems of nonlinear equations[J].Math Oper Res,1979,4:1—14. doi: 10.1287/moor.4.1.1
    [21] Petrovki I G.Ordinary Differential Equations[M].New York:Dover Publications,1966.
    [22] Myint-U T.Ordinary Differential Equations[M].New York:North-Holland,1978.
    [23] Snchez D A.Ordinary Differential Equations and Stability Theory[M].San Francisco:W H Freeman,1968.
    [24] Zeidler E.Nonlinear Functional Analysis and Its Applications[M].New York:Springer-Verlag,1985.
    [25] Zeidler E.Applied Functional Analysis and Its Applications[M].New York:Springer-Verlag,1995.
    [26] Elsgoltz L.Ecuaciones Diferenciales y Clculo Variacional[M].Moscow:Mir,1964.
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出版历程
  • 收稿日期:  2003-10-22
  • 刊出日期:  2005-01-15

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