On stability for generalized linear differential equations and applications to impulsive systems

نویسندگان

چکیده

In this paper, we are interested in investigating notions of stability for generalized linear differential equations (GLDEs). Initially, propose and revisit several definitions provide a complete characterisation them terms upper bounds asymptotic behaviour the transition matrix. addition, illustrate our results GLDEs to periodic systems impulsive equations. Finally, prove that well known uniform variational equivalent global exponential introduced article.

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ژورنال

عنوان ژورنال: Proceedings

سال: 2023

ISSN: ['0890-1740']

DOI: https://doi.org/10.1017/prm.2023.13