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 Proceedings of the YSU, Physics & Mathematics, 2017, Volume 51, Issue 2, Pages 158–167 (Mi uzeru379)

Mathematics

On solvability of an infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices

Kh. A. Khachatryanab, M. H. Avetisyanca

a Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
b Chair of Differential Equations YSU, Armenia
c Chair of Numerical Analysis and Mathematical Modelling, YSU, Armenia

Abstract: In the present paper a special class of infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices is studied. Above mentioned class of equations has direct applications in radiative transfer theory. Existence componentwise positive solutions for the system in space $l_1$ are proved and some examples for mentioned equations, representing separate interest are given.

Keywords: positive solution, Teoplitz–Hankeltypematrices, iteration, limit of solution.

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Document Type: Article
MSC: Primary 45G05; Secondary 47H30
Language: English

Citation: Kh. A. Khachatryan, M. H. Avetisyan, “On solvability of an infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices”, Proceedings of the YSU, Physics & Mathematics, 51:2 (2017), 158–167

Citation in format AMSBIB
\Bibitem{KhaAve17} \by Kh.~A.~Khachatryan, M.~H.~Avetisyan \paper On solvability of an infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices \jour Proceedings of the YSU, Physics {\&} Mathematics \yr 2017 \vol 51 \issue 2 \pages 158--167 \mathnet{http://mi.mathnet.ru/uzeru379}