ON SOLVABILITY OF AN INFINITE NONLINEAR SYSTEM OF ALGEBRAIC EQUATIONS WITH TEOPLITZ–HANKEL MATRICES

Kh.A. Khachatryan; M.H. Avetisyan

doi:10.46991/PYSU:A/2017.51.2.158

ON SOLVABILITY OF AN INFINITE NONLINEAR SYSTEM OF ALGEBRAIC EQUATIONS WITH TEOPLITZ–HANKEL MATRICES

Authors

Kh.A. Khachatryan Institute of Mathematics of NAS of the Republic of Armenia, Chair of Differential Equations, YSU, Armenia
M.H. Avetisyan Institute of Mathematics of NAS of the Republic of Armenia, Chair of Numerical Analysis and Mathematical Modelling, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2017.51.2.158

Keywords:

positive solution, Teoplitz–Hankel type matrices, iteration, limit of solution

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 l1 are proved and some examples for mentioned equations, representing separate interest are given.

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Published

2017-06-15

How to Cite

Khachatryan, K., & Avetisyan, M. (2017). ON SOLVABILITY OF AN INFINITE NONLINEAR SYSTEM OF ALGEBRAIC EQUATIONS WITH TEOPLITZ–HANKEL MATRICES. Proceedings of the YSU A: Physical and Mathematical Sciences, 51(2 (243), 158–167. https://doi.org/10.46991/PYSU:A/2017.51.2.158