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Journal of the Belarusian State University. Mathematics and Informatics, 2024, Volume 1, Pages 86–92 (Mi bgumi681)  
Short communications

Representations of solutions of first order linear canonical hyperbolic integro-differential equations

A. G. Agamaliyeva, K. B. Mansimovba, R. O. Mastalievbc

a Baku State University, 23 Akademik Zahid Khalilov Street, Baku AZ 1148, Azerbaijan
b Institute of Control Systems, Ministry of Science and Education of the Republic of Azerbaijan
c Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ 1007, Azerbaijan
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Abstract: In this paper, we consider the boundary value problem for one class of linear hyperbolic integro-differential equations of the first order. With the help of analogies of the Cauchy matrix and the resolvent, representations of the solution of the considered boundary value problem are obtained.
Keywords: Linear hyperbolic integro-differential equations; representation of solutions; analog of the Cauchy matrix; second order Volterra equations
Received: 22.08.2023
Revised: 15.02.2024
Accepted: 15.02.2024
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. G. Agamaliyev, K. B. Mansimov, R. O. Mastaliev, “Representations of solutions of first order linear canonical hyperbolic integro-differential equations”, Journal of the Belarusian State University. Mathematics and Informatics, 1 (2024), 86–92
Citation in format AMSBIB
\Bibitem{AgaManMas24}
\by A.~G.~Agamaliyev, K.~B.~Mansimov, R.~O.~Mastaliev
\paper Representations of solutions of first order linear canonical hyperbolic integro-differential equations
\jour Journal of the Belarusian State University. Mathematics and Informatics
\yr 2024
\vol 1
\pages 86--92
\mathnet{http://mi.mathnet.ru/bgumi681}
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