Abstract
Stability properties of the zero solution of a scalar ordinary differential equation are studied using functions, called fences, which act as bounds to the solutions of the differential equation. It is shown, under simple restrictions, that these fences are bounds for the solutions of the perturbed differential equations as well. Hence one finds that total stability of the zero solution of a scalar ordinary differential equation is equivalent to the existence of these functions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.