UNIQUENESS OF THE SOLUTION OF A NONLINEAR ALGEBRAIC SYSTEM

Authors

  • P. N. Koumantos Institute of Applied and Computational Mathematics, Foundation of Technology and Research (IACM-FORTH), 70013 Heraklion, Crete, Greece Author

DOI:

https://doi.org/10.57016/MV-cpyj7658

Keywords:

Nonlinear systems, intersection of hypersurfaces, Bochner integrable functions, equality in the triangle inequality

Subjects:

14P99, 46E30, 26D15, 39B05, 97G70

Abstract

In this article we give a sufficient condition for a nonlinear algebraic system of some classes of hypersurfaces to intersect in a unique point and we express the corresponding unique solution in exact form, as well as for the corresponding nonlinear functional system of equations. We conclude extending our results for the functional case in a Banach space of Bochner measurable functions.

Downloads

Published

2022-10-15

Issue

Vol. 74 No. 4 (2022): Vol. 74, Issue 4

Section

Articles

License

Copyright (c) 2022 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.