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

被引：0

作者：

Balaev, M. K. ^{[1
]}

机构：

[1] Natl Acad Sci Azerbaijan, Inst Math & Mech, Baku, Azerbaijan

来源：

MATHEMATICAL NOTES | 2011年 / 90卷 / 5-6期

关键词：

linear operator-differential equation; Cauchy problem; Banach space; semigroup; Holder continuity; evolution equation; EVOLUTION-EQUATIONS;

D O I：

10.1134/S0001434611110046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：651 / 665

页数：15

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