Well-posed solvability of functional-differential equations with unbounded operator coefficients

被引：0

作者：

Akylzhanov, R. Kh. ^{[1
]}

Vlasov, V. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2014年 / 50卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

STABILITY; DELAY;

D O I：

10.1134/S0012266114090043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study functional-differential equations with unbounded variable operator coefficients and variable delays in a Hilbert space. We prove the well-posed solvability of initial-boundary value problems for the above-mentioned equations in Sobolev spaces of vector functions on the positive half-line.

引用

页码：1161 / 1172

页数：12

共 39 条

[1] Study of Functional-Differential Equations with Unbounded Operator Coefficients
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