Perov's theorem applied to systems of equations

Authors

  • Gabriela Motronea Technical University of Cluj-Napoca, Department of Mathematics, St. Memorandumului no. 28, 400114, Cluj-Napoca, Romania https://orcid.org/0009-0000-0432-2144
  • Diana Otrocol Technical University of Cluj-Napoca, Department of Mathematics, Str Memorandumului No 28, 400114, Cluj-Napoca, Romania, Romanian Academy, Tiberiu Popoviciu Institute of Numerical Analysis, Str Fantanele No 57, 400110, Cluj-Napoca, Romania https://orcid.org/0000-0001-5926-7760
  • Ioan Rasa Technical University of Cluj-Napoca, Department of Mathematics, St. Memorandumului no. 28, 400114, Cluj-Napoca, Romania https://orcid.org/0000-0002-5206-030X

Keywords:

Algebraic system, solutions, existence, uniqueness

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.

References

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Published

15-12-2023

How to Cite

Motronea, G., Otrocol, D., & Rasa, I. (2023). Perov’s theorem applied to systems of equations. Modern Mathematical Methods, 1(1), 22–29. Retrieved from https://modernmathmeth.com/index.php/pub/article/view/18

Issue

Vol. 1 No. 1 (2023)

Section

Articles

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