On the eventual stability of asymptotically autonomous systems with constraints

Jinlong Bai; Xuewei Ju; Desheng Li; Xiulian Wang

doi:10.3934/dcdsb.2019127

Article Contents

2019, Volume 24, Issue 8: 4457-4473. Doi: 10.3934/dcdsb.2019127

This issue Previous Article Some monotone properties for solutions to a reaction-diffusion model Next Article On the Alekseev-Gröbner formula in Banach spaces

On the eventual stability of asymptotically autonomous systems with constraints

1.
School of Mathematics, Tianjin University, Tianjin 300072, China
2.
Department of Mathematics, Civil Aviation University of China, Tianjin 300300, China
3.
School of Mathematics, Tianjin Normal University, Tianjin 300387, China

^* Corresponding author: Desheng Li
^* Corresponding author: Desheng Li

Received: September 30, 2018

Revised: December 31, 2018

Early access: June 2019

Published: July 2019

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Abstract

In this paper we first give a criterion on stability of equilibrium solutions for autonomous systems with constraints. Then we discuss the relationship between asymptotic behaviors of an asymptotically autonomous system with constraint and its limit system. Finally as an example, we revisit an extreme ideology model proposed in the literature and give a more detailed description on the dynamics of the system.

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Mathematics Subject Classification: 34D05, 34D20, 37B55, 93D20.

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