Abstract
In this paper, we consider systems of equations having a linear part and also a nonlinear part. We give sufficient conditions which imply the existence and uniqueness of solutions to the system. Using Perov’s theorem, our results extend some results in the literature. An application using the iterative method, numerical experiments and graphics illustrate the main result.
Authors
Gabriela Motronea
Technical University of Cluj-Napoca, Romania
Diana Otrocol
Technical University of Cluj-Napoca, Romania,
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
Ioan Rasa
Technical University of Cluj-Napoca, Romania
Keywords
Algebraic system; solutions; existence; uniqueness
Paper coordinates
G. Motronea, D. Otrocol, I. Rasa, Perov’s theorem applied to systems of equations, Modern Mathematical Methods, 1 (2023) no. 1, pp. 22-29.
About this paper
Journal
Modern Mathematical Metods
Publisher Name
DOI
Print ISSN
Online ISSN
3023-5294
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