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

• Datum: 2014
• Hauptverfasser: Kopachevskii, N. D., Semkina, E. V., Копачевский, Н. Д., Сёмкина, Е. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2014
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2240
• Назва журналу: 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.