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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Negative trajectories in impulsive semidynamical systems

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Author(s):
Afonso, S. M. [1] ; Bonotto, E. M. [2] ; Jimenez, M. Z. [2]
Total Authors: 3
Affiliation:
[1] Univ Estadual, Dept Matemat, Inst Geociencias & Ciencias Exatas, BR-13506900 Rio Clam, SP - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Differential Equations; v. 259, n. 3, p. 964-988, AUG 5 2015.
Web of Science Citations: 1
Abstract

The theory of negative semisolutions is well defined in continuous dynamical systems. In this paper, we present a method to construct negative semisolutions for impulsive semidynamical systems. We study topological properties of the negative limit set and the first negative prolongational set. We also present a result about weak minimal sets. (C) 2015 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 10/12250-3 - Recursive properties and attractors theory in impulsive semidynamical systems
Grantee:Manuel Francisco Zuloeta Jimenez
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