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.Abstract: In this paper, the existence of solutions to differential inclusions is discussed in infinite dimensional Banach spaces. First, some comparability theorems for common differential inclusions are posed, relations between approximate solutions and solutions are studied. In the end, the existence theorem of solutions to differential inclusions is obtained.
-
Key words:
- Banach space
-
[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. -
点击查看大图
计量
- 文章访问数: 1953
- HTML全文浏览量: 105
- PDF下载量: 806
- 被引次数: 0
下载:
