Complete Volterra Integrodifferential Equations of the Second Order Unsolved with Respect to the Higher Derivative

We prove the theorem on solvability of the Cauchy problem for the complete Volterra integrodifferential linear equations of the second order in a Hilbert space. For a complete equation, we consider three main classes of equations depending on the ordering of operator coefficients.

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Bibliographic Details
Date:2014
Main Authors: Kopachevskii, N. D., Semkina, E. V., Копачевский, Н. Д., Сёмкина, Е. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2240
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal