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Banach空间中微分包含解的存在性
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.
作者姓名:宋福民
作者单位:南昌航空工业学院
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·

关 键 词:Banach空间微分包含集值映射存在性定理

Existence of Solutions to Differential Inclusions in Banach Spaces
Song Fumin.Existence of Solutions to Differential Inclusions in Banach Spaces[J].Applied Mathematics and Mechanics,1998,19(11):1021-1029.
Authors:Song Fumin
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.
Keywords:Banach space  differential inclusion  set_valued mappings  existence theorem
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