Geodesic
On solvability of an infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 2, pp. 158-167

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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: Teoplitz–Hankeltypematrices, iteration, limit of solution.
Mots-clés : positive solution 
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     title = {On solvability of an infinite nonlinear system of algebraic equations with {Teoplitz{\textendash}Hankel} matrices},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
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Kh. A. Khachatryan; M. H. Avetisyan. On solvability of an infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 2, pp. 158-167. http://geodesic.mathdoc.fr/item/UZERU_2017_51_2_a3/