On the Properties of Semigroups Generated by Volterra Integro-Differential Equations

被引：2

作者：

Vlasov, V. V. ^{[1
,2
]}

Rautian, N. A. ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

[2] Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia

来源：

DIFFERENTIAL EQUATIONS | 2020年 / 56卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S001226612008011X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study abstract integro-differential equations serving as operator models for problems arising in viscoelasticity. The results are based on an approach related to the study of one-parameter semigroups for linear evolution equations. The approach proposed can be used when investigating other integro-differential equations containing integral terms of the form of Volterra convolution.

引用

页码：1100 / 1104

页数：5

共 50 条

[1] On the Properties of Semigroups Generated by Volterra Integro-Differential Equations
V. V. Vlasov
N. A. Rautian
[J]. Differential Equations, 2020, 56 : 1100 - 1104
[2] Semigroups Generated by Volterra Integro-Differential Equations
Rautian, N. A.
[J]. DIFFERENTIAL EQUATIONS, 2020, 56 (09) : 1193 - 1211
[3] Semigroups Generated by Volterra Integro-Differential Equations
N. A. Rautian
[J]. Differential Equations, 2020, 56 : 1193 - 1211
[4] EXPONENTIAL STABILITY OF SEMIGROUPS GENERATED BY VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
Rautian, N. A.
[J]. UFA MATHEMATICAL JOURNAL, 2021, 13 (04): : 63 - 79
[5] On the Properties of Semigroups Generated by Volterra Integro-Differential Equations with Kernels Representable by Stieltjes Integrals
Rautian, N. A.
[J]. DIFFERENTIAL EQUATIONS, 2021, 57 (09) : 1231 - 1248
[6] On the Properties of Semigroups Generated by Volterra Integro-Differential Equations with Kernels Representable by Stieltjes Integrals
N. A. Rautian
[J]. Differential Equations, 2021, 57 : 1231 - 1248
[7] On the Properties of the Generators of Semigroups Associated with Volterra Integro-Differential Equations
Rautian, N. A.
[J]. DIFFERENTIAL EQUATIONS, 2021, 57 (12) : 1652 - 1664
[8] On the Properties of the Generators of Semigroups Associated with Volterra Integro-Differential Equations
N. A. Rautian
[J]. Differential Equations, 2021, 57 : 1652 - 1664
[9] Exponential Stability of Semigroups Generated by Volterra Integro-Differential Equations with Singular Kernels
V. V. Vlasov
N. A. Rautian
[J]. Differential Equations, 2021, 57 : 1402 - 1407
[10] Exponential Stability of Semigroups Generated by Volterra Integro-Differential Equations with Singular Kernels
Vlasov, V. V.
Rautian, N. A.
[J]. DIFFERENTIAL EQUATIONS, 2021, 57 (10) : 1402 - 1407

← 1 2 3 4 5 →