Linear Volterra Integro-Differential Second-Order Equations Unresolved with Respect to the Highest Derivative


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Authors

  • Nikolay Dmitrievich Kopachevsky
  • Ekaterina Vladimirovna Syomkina

Keywords:

Volterra integro-differential equation, C0-semigroup, self-adjoint operator

Abstract

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.

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Published

2013-12-30

How to Cite

Kopachevsky, N. D., & Syomkina, E. V. (2013). Linear Volterra Integro-Differential Second-Order Equations Unresolved with Respect to the Highest Derivative. Eurasian Mathematical Journal, 4(4), 64–87. Retrieved from https://emj.enu.kz/index.php/main/article/view/556

Issue

Vol. 4 No. 4 (2013)

Section

Articles