## 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

google scholar link

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