Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula

In this research we introduce a new variation of parameters for systems of linear and nonlinear ordinary differential equations. We use known mathematical methods and techniques including Gronwall’s inequality and fixed point theory to obtain boundedness on all solutions and stability results on the...

Full description

Saved in:
Bibliographic Details
Published in:Cubo (Temuco, Chile) Chile), 2023-04, Vol.25 (1), p.37-55
Main Author: Raffoul, Youssef N.
Format: Article
Language:English
Subjects:
boundedness
fundamental matrix
linear
MATHEMATICS
MATHEMATICS, APPLIED
new variation of parameters
nonlinear
ordinary differential equations
stability
system
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this research we introduce a new variation of parameters for systems of linear and nonlinear ordinary differential equations. We use known mathematical methods and techniques including Gronwall’s inequality and fixed point theory to obtain boundedness on all solutions and stability results on the zero solution.
ISSN:0719-0646
0716-7776
0719-0646
DOI:10.56754/0719-0646.2501.037