The Cauchy Problem for a Differential Inclusion in Banach Spaces and Distribution Spaces

被引：0

作者：

I. V. Mel'nikova

机构：

[1] The Ural State University,

来源：

Siberian Mathematical Journal | 2001年 / 42卷

关键词：

Banach Space; Linear Operator; Cauchy Problem; Differential Inclusion; Distribution Space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study well-posedness of degenerate Cauchy problems treated as Cauchy problems for a differential inclusion with a multivalued linear operator. Using a new approach to the definition of degenerate integrated semigroups and their generators in a Banach space, we obtain a well-posedness criterion for the problem. Moreover, we consider the Cauchy problem for a differential inclusion in the space of abstract distributions and give necessary and sufficient conditions for well-posedness in the distribution space.

引用

页码：751 / 765

页数：14

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