Stability analysis of Abel's equation of the first kind-Reference-Cited by-同舟云学术

Stability analysis of Abel's equation of the first kind

Published:2023 Issue:12 Volume:8 Page:30574-30590
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Naser Mohammad F.M.¹,Aal Mohammad Abdel²,Gumah Ghaleb¹

Affiliation:

1. Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, Jordan

2. Faculty of Arts and Educational Sciences, Middle East University, Amman 11831, Jordan

Abstract

<abstract><p>This paper established sufficient conditions for the stability of Abel's differential equation of the first kind. These conditions explicate the impact of the asymptotic behaviors exhibited by the time-varying coefficients on the overall stability of the system. More precisely, we studied the positivity, the continuation and the boundedness of solutions. Additionally, we investigated the attractivity, the asymptotic stability, the uniform stability and the instability of the system. The results were scrutinized by numerical simulations.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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