LINEAR VOLTERRA INTEGRO-DIFFERENTIAL SECOND-ORDER EQUATIONS UNRESOLVED WITH RESPECT TO THE HIGHEST DERIVATIVE

被引：0

作者：

Kopachevsky, N. D. ^{[1
]}

Syomkina, E. V. ^{[1
]}

机构：

[1] Taurida Natl V Vernadsky Univ, Dept Math & Informat, Acad Vernadsky Ave 4, UA-95007 Simferopol, Ukraine

来源：

EURASIAN MATHEMATICAL JOURNAL | 2013年 / 4卷 / 04期

关键词：

Volterra integro-differential equation; C-0-semigroup; self-adjoint operator;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Cauchy problem for Volterra integro-differential second-order linear equations which describe an evolution of dynamical systems with infinite numbers of degrees of freedom taking into account relaxation effects. Existence theorems for strong solutions for three classes of complete integro-differential second-order equations are obtained.

引用

页码：64 / 87

页数：24

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