Solvability of the Cauchy problem for linear operator-differential equations with variable operator coefficients

被引：0

作者：

M. K. Balaev

机构：

[1] National Academy of Sciences of Azerbaijan,Institute of Mathematics and Mechanics

来源：

Mathematical Notes | 2011年 / 90卷

关键词：

linear operator-differential equation; Cauchy problem; Banach space; semigroup; Höolder continuity; evolution equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the Cauchy problem for linear operator-differential equations with unbounded, nondensely defined, variable operator coefficients in a Banach space. We single out new classes of evolution equations of first and second order for which the Cauchy problem is solvable.

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页码：651 / 665

页数：14

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