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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 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
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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.
Received: 11.04.2017
Accepted: 18.05.2017
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, Physical and Mathematical Sciences, 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, Physical and Mathematical Sciences
\yr 2017
\vol 51
\issue 2
\pages 158--167
\mathnet{http://mi.mathnet.ru/uzeru379}
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