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

  • Agamly G. Agamaliyev Baku State University, 23 Akademik Zahid Khalilov Street, Baku AZ 1148, Azerbaijan
  • Kamil B. Mansimov Baku State University, 23 Akademik Zahid Khalilov Street, Baku AZ 1148, Azerbaijan; Institute of Control Systems, Ministry of Science and Education of the Republic of Azerbaijan, 68 Bakhtiyar Vahabzadeh Street, Baku AZ 1141, Azerbaijan
  • Rashad O. Mastaliyev Institute of Control Systems, Ministry of Science and Education of the Republic of Azerbaijan, 68 Bakhtiyar Vahabzadeh Street, Baku AZ 1141, Azerbaijan; Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ 1007, Azerbaijan

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.

Author Biographies

Agamly G. Agamaliyev, Baku State University, 23 Akademik Zahid Khalilov Street, Baku AZ 1148, Azerbaijan

PhD (physics and mathematics); associate professor at the department of higher mathematics, faculty of mechanics and mathematics

 

Kamil B. Mansimov, Baku State University, 23 Akademik Zahid Khalilov Street, Baku AZ 1148, Azerbaijan; Institute of Control Systems, Ministry of Science and Education of the Republic of Azerbaijan, 68 Bakhtiyar Vahabzadeh Street, Baku AZ 1141, Azerbaijan

doctor of science (physics and mathematics), full professor; head of the department of mathematical cybernetics, faculty of applied mathematics and cybernetics, Baku State University, and head of the laboratory of methods of control of complex dynamic systems, Institute of Control Systems, Ministry of Science and Education of the Republic of Azerbaijan

 

Rashad O. Mastaliyev, Institute of Control Systems, Ministry of Science and Education of the Republic of Azerbaijan, 68 Bakhtiyar Vahabzadeh Street, Baku AZ 1141, Azerbaijan; Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ 1007, Azerbaijan

PhD (mathematics), docent; leading researcher at the laboratory of methods of control of complex dynamic systems, Institute of Control Systems, Ministry of Science and Education of the Republic of Azerbaijan, and head of the department of mathematics and informatics, faculty of imformation and communication technologies, Azerbaijan University

 

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Published
2024-04-15
Keywords: linear hyperbolic integro-differential equations, representation of solutions, analog of the Cauchy matrix, second order Volterra equations
Supporting Agencies The authors express their deep gratitude to the reviewer for his very useful comments.
How to Cite
Agamaliyev, A. G., Mansimov, K. B., & Mastaliyev, R. O. (2024). Representations of solutions of first order linear canonical hyperbolic integro-differential equations. Journal of the Belarusian State University. Mathematics and Informatics, 1, 86-92. Retrieved from https://journals.bsu.by/index.php/mathematics/article/view/5629
Issue
No 1 (2024): Journal of the Belarusian State University. Mathematics and Informatics
Section
Short Communications

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