Dissipative non-autonomous semidynamical systems with impulses
Recursive properties and attractors theory in impulsive semidynamical systems
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Sao Carlos, SP - Brazil
[2] Univ Fed Espirito Santo, BR-29060910 Vitoria Es - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 41, n. 1, p. 1-38, MAR 2013. |
| Web of Science Citations: | 15 |
| 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. (AU) | |
| FAPESP's process: | 10/08994-7 - Non-autonomous semidynamical systems with impulses |
| Grantee: | Everaldo de Mello Bonotto |
| Support Opportunities: | Regular Research Grants |