## Topological Methods in Nonlinear Analysis

### Autonomous dissipative semidynamical systems with impulses

#### Abstract

In the present paper, we study the theory of dissipative impulsive semidynamical systems. We define different types of dissipativity as point, compact, local and bounded. The center of Levinson is defined for compact dissipative impulsive semidynamical systems and its topological properties are investigated. Also, we present results giving necessary and sufficient conditions to obtain dissipativity, and we include some examples to point out that the concepts of the different kinds of dissipativity are not equivalent in general.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 41, Number 1 (2013), 1-38.

Dates
First available in Project Euclid: 21 April 2016

https://projecteuclid.org/euclid.tmna/1461253854

Mathematical Reviews number (MathSciNet)
MR3086532

Zentralblatt MATH identifier
1321.37012

#### Citation

Bonotto, Everaldo M.; Demuner, Daniela P. Autonomous dissipative semidynamical systems with impulses. Topol. Methods Nonlinear Anal. 41 (2013), no. 1, 1--38. https://projecteuclid.org/euclid.tmna/1461253854

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