Open AccessSome conditions for the existence and uniqueness of monotonic and positive solutions for nonlinear systems of ordinary differential equations
Author(s) -
Adrian Nicolae Branga
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022101
Subject(s) - uniqueness , monotonic function , mathematics , nonlinear system , ordinary differential equation , class (philosophy) , mathematical analysis , differential equation , physics , computer science , quantum mechanics , artificial intelligence
In this paper, applying the theory of fixed points in complete gauge spaces, we establish some conditions for the existence and uniqueness of monotonic and positive solutions for nonlinear systems of ordinary differential equations. Moreover, the paper contains an application of the theoretical results to the study of a class of systems of nonlinear ordinary differential equations.