Abstract:
In this paper a special class of infinite nonlinear system of algebraic equations with Teoplitz matrix is studied. The mentioned system arises in the mathematical theory of the spatial temporal spread of the epidemic. The existence and the uniqueness of the solution in the space of bounded sequences are proved. It is studied also the asymptotic behavior of the constructed solution at infinity. At the end of the work specific examples are given.
Citation:
M. H. Avetisyan, “On solvability of a nonlinear discrete system in the spread theory of infection”, Proceedings of the YSU, Physical and Mathematical Sciences, 54:2 (2020), 87–95
\Bibitem{Ave20}
\by M.~H.~Avetisyan
\paper On solvability of a nonlinear discrete system in the spread theory of infection
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2020
\vol 54
\issue 2
\pages 87--95
\mathnet{http://mi.mathnet.ru/uzeru709}
\crossref{https://doi.org/10.46991/PYSU:A/2020.54.2.087}
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https://www.mathnet.ru/eng/uzeru/v54/i2/p87
This publication is cited in the following 4 articles:
A. Kh. Khachatryan, Kh. A. Khachatryan, H. S. Petrosyan, “On the constructive solvability of one class nonlinear integral equations of the Hammerstein type on the whole line”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 3, 89–106
Kh. A. Khachatryan, H. S. Petrosyan, “An iterative method for solving one class of nonlinear integral equations with the Nemytskii operator on the positive half-line”, Izv. RAN. Ser. Mat., 88:4 (2024), 168–203
Kh. A. Khachatryan, H. S. Petrosyan, “An iterative method for solving one class of non-linear integral equations
with Nemytskii operator on the positive semi-axis”, Izv. Math., 88:4 (2024), 760–793
Kh. A. Khachatryan, A. S. Petrosyan, “Teoremy suschestvovaniya i edinstvennosti dlya odnoi beskonechnoi sistemy nelineinykh algebraicheskikh uravnenii”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 44 (2023), 44–54
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