Abstract Linear Volterra Second-Order Integro-Differential Equations

Dmitry Alexandrovich Zakora

Abstract Linear Volterra Second-Order Integro-Differential Equations

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Authors

Dmitry Alexandrovich Zakora

Keywords:

Volterra integro-differential equation, evolution equation, stable family of operators, Cauchy problem, \( C_0 \)-semigroup

Abstract

We study a class of time-dependent linear second-order integro-differential equations with the evolution equation approach. These equations arise naturally in the study of viscoelasticity. Existence theorems for strong solutions for three classes of complete integro-differential second-order equations are obtained.

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Published

2016-06-30

How to Cite

Zakora, D. A. (2016). Abstract Linear Volterra Second-Order Integro-Differential Equations. Eurasian Mathematical Journal, 7(2), 75–91. Retrieved from https://emj.enu.kz/index.php/main/article/view/636