| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Estadual Maringa, BR-87020900 Maringa, Parana - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 259, n. 2, p. 642-665, JUL 15 2015. |
| Web of Science Citations: | 4 |
| Abstract | |
An interesting problem of Jack Hale deals with the existence of a maximal compact invariant set in discrete dynamical systems. A solution for this problem is known for locally bounded dynamical systems. Following this line of research, we consider in this paper a class of systems whose continuous dynamics are interrupted by abrupt changes of state and we present sufficient conditions to obtain the existence of a maximal compact invariant set for a system in this class. We use the theory of asymptotic compactness to get the results. (C) 2015 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 12/20933-9 - Qualitative properties of impulsive semidynmical systems |
| Grantee: | Ginnara Mexia Souto |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 12/16709-6 - Non-autonomous systems with impulses: convergent systems and the Navier-Stokes Equation |
| Grantee: | Everaldo de Mello Bonotto |
| Support Opportunities: | Regular Research Grants |