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

Authors

  • 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

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.

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

Issue

No. 1 (2024): Journal of the Belarusian State University. Mathematics and Informatics

Section

Short Communications

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How to Cite

[1]
Agamaliyev, A.G. et al. 2024. Representations of solutions of first order linear canonical hyperbolic integro-differential equations. Journal of the Belarusian State University. Mathematics and Informatics. 1 (Apr. 2024), 86–92.