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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.