On the solvability of an abstract Cauchy problem

被引：0

作者：

A. V. Chaikovskii

机构：

[1] Taras Shevchenko National University of Kyiv,

来源：

Differential Equations | 2010年 / 46卷

关键词：

Banach Space; Cauchy Problem; Russian Translation; Bounded Variation; Sectorial Operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the Cauchy problem for a first-order linear inhomogeneous differential equation for functions ranging in a Banach space in the case of a sectorial operator coefficient. We find conditions for the solvability of the Cauchy problem for the case in which the right-hand side is not necessarily a Hölder function.

引用

页码：762 / 767

页数：5

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