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.
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页码：762 / 767
页数：5
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