On the representation of solutions of some classes of two-linear dimensional difference equations
https://doi.org/10.29235/1561-2430-2021-57-2-190-197
Abstract
Herein, some classes of linear two-dimensional difference equations of Volterra type are considered. Representations of solutions using analogs of the resolvent and the Riemann matrix are obtained.
About the Authors
R. R. AmirovaAzerbaijan
Rasmiyya Rza kyzy Amirova – Ph. D. (Physics and Mathematics), Associate Professor of the Department of Mathematics of Informatics
2, Rashid Behbudov Str., Baku, Republic of Azerbaijan
Zh. B. Ahmedova
Azerbaijan
Zhalya Bilal kyzy Akhmedova – Ph. D. (Physics and Mathematics), Associate Professor of the Department of Mathematical Cybernetics
23, Z. Khalilova Str., Az 1148, Baku, Republic of Azerbaijan
K. B. Mansimov
Azerbaijan
Kamil Bayramali oglu Mansimov – Dr. Sc. (Physics and Mathematics), Professor, Head of the Department of Mathematical Cybernetics
9, B. Vahabzade Str., Az 1141, Baku, Republic of Azerbaijan
References
1. Gabasov R., Kirillova F. М. The Maximum Principle in Optimal Control Theory. Мoscow, Librokom Publ., 2011. 272 p. (in Russian).
2. Gabasov R., Kirillova F. М. Linear Systems Optimization. Minsk, BSU, 1973. 256 p. (in Russian).
3. Gabasov R., Kirillova F. М. Special Optimal Controls. Moscow, Librokom Publ., 2011. 256 p. (in Russian).
4. Mansimov К. B. Discrete Systems. Baku, Baku University Publishing House, 2013. 151 p. (in Russian).
5. Petrovskii I. G. Lectures on the Theory of Integral Equations. Moscow, Fizmatlit Publ., 2009. 136 p. (in Russian).
6. Smirnov V. I. Higher Mathematics Course. Vol. 4, Part. 1. Moscow, Nauka Publ., 1974. 336 p. (in Russian).
7. Tikhonov A. I., Samarskiy А. А. Equations of Mathematical Physics. Moscow, Moscow State University, 1997. 793 p. (in Russian).
8. Choi S. K., Goo Y. U., Koo N. J. Bounded ness discrete Volterra systems. Bulletin of the Korean Mathematical Society, 2007, vol. 44, no. 4, pp. 663–675. https://doi.org/10.4134/bkms.2007.44.4.663
9. Song Y., Baker C. T. H. Linearized, stability analysis of discrete Volterra equations. Journal of Mathematical Analysis and Applications, 2004, vol. 294, no. 1, pp. 310–333 p. https://doi.org/10.1016/j.jmaa.2004.02.019
10. Ivinskaya E. V., Kolmanovskiy V. B. On the boundedness of the solutions of some Volterra difference equations. Avtomatika i telemekhanika = Automation and Remote Control, 2000, no. 8, pp. 86–97 (in Russian).
11. Kolmanovskiy V. B. On the asymptotic properties of solutions of some nonlinear Volterra systems. Avtomatika i telemekhanika Avtomatika i telemekhanika = Automation and Remote Control, 2000, no. 4. pp. 42–50 (in Russian).