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Banach空间中微分包含解的存在性*

宋福民

宋福民. Banach空间中微分包含解的存在性*[J]. 应用数学和力学, 1998, 19(11): 1021-1029.
引用本文: 宋福民. Banach空间中微分包含解的存在性*[J]. 应用数学和力学, 1998, 19(11): 1021-1029.
Song Fumin. Existence of Solutions to Differential Inclusions in Banach Spaces[J]. Applied Mathematics and Mechanics, 1998, 19(11): 1021-1029.
Citation: Song Fumin. Existence of Solutions to Differential Inclusions in Banach Spaces[J]. Applied Mathematics and Mechanics, 1998, 19(11): 1021-1029.

Banach空间中微分包含解的存在性*

基金项目: * 江西省自然科学基金资助课题[赣科基字(1997)5号971104]
详细信息
  • 中图分类号: O176;O177

Existence of Solutions to Differential Inclusions in Banach Spaces

  • 摘要: 本文在无穷维Banach空间中讨论微分包含解的存在性,先给出了几个普通微分包含的比较定理,讨论了近似解与解的关系,然后得到了Banach空间中微分包含解的存在性定理.
  • [1] J.P.Aubin and A.Cellina,Differential Inclusions,Springer-Verlag,New York(1984).
    [2] J.P.Aubin and H.Frankouska,Set-Valued Analysis,Birkhauser,Berlin(1990).
    [3] V.Lakshmikantham and S.Leala,Differential and Integral Inequalities,Vol I and Ⅱ,Academic Press,New York(1969).
    [4] B.Fisher and K.Iseki,Fixed points set-valued mappings on complete and compact metric spaces,Math.J aponica,28(5)(1983),639-646.
    [5] Chang Shihsen and Ma Yihai,Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming,J.Math.Anal.Appl.,160(1991),468-479.
    [6] Hu Shouchuan and N.S.Papageorgiou,On the existence of periodic solutions for nonconvex-valued differential inclusions in RN,Proc.Amer.Math.Soc.,123(1995),3043-3050.
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出版历程
  • 收稿日期:  1996-12-02
  • 修回日期:  1998-04-02
  • 刊出日期:  1998-11-15

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