Perov’s theorem applied to systems of equations

1 year ago

(original), Fixed point theory, Nonlinear analysis, Numerical Analysis, paper, successive approximations

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.

PDF

https://modernmathmeth.com/index.php/pub/article/view/18/3

About this paper

Journal

Modern Mathematical Metods

Publisher Name

DOI

Print ISSN

Online ISSN

3023-5294

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