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April  2020, 19(4): 1979-1996. doi: 10.3934/cpaa.2020087

Stability and forward attractors for non-autonomous impulsive semidynamical systems

 1 Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970, São Carlos SP, Brazil 2 Universidade Federal do Espírito Santo, Vitória ES, Brazil

* Corresponding author.

Dedicated to Tomás Caraballo on his 60th birthday

Received  April 2019 Revised  October 2019 Published  January 2020

Fund Project: The first author is supported partially by FAPESP grant 2016/24711-1 and CNPq grant 310497/2016-7.

In this paper, we study the theory of forward attractors for non-autonomous impulsive semidynamical systems. Moreover, we investigate some types of stability of the global attractor as orbital stability, asymptotic stability and stability in the sense of Lyapunov-Barbashin. We present an example to illustrate the theory.

Citation: Everaldo de Mello Bonotto, Daniela Paula Demuner. Stability and forward attractors for non-autonomous impulsive semidynamical systems. Communications on Pure & Applied Analysis, 2020, 19 (4) : 1979-1996. doi: 10.3934/cpaa.2020087
References:

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