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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.)

Robustness of Exponential Dichotomies for Generalized Ordinary Differential Equations

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Author(s):
Bonotto, E. M. [1] ; Federson, M. [1, 2] ; Santos, F. L. [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] Santos, F. L., Univ Fed Rural Pernambuco, Dept Matemat, Rua Dom Manoel de Medeiros S-N, BR-52171900 Recife, PE, Brazil.Bonotto, E. M., Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Fed Rural Pernambuco, Dept Matemat, Rua Dom Manoel de Medeiros S-N, BR-52171900 Recife, PE - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Dynamics and Differential Equations; v. 32, n. 4 OCT 2019.
Web of Science Citations: 0
Abstract

This paper deals with exponential dichotomy for generalized ODEs. We establish sufficient conditions to ensure that the exponential dichotomy of a linear generalized ODE is robust under certain perturbations. As a consequence, we obtain results on robustness of dichotomies for measure differential equations and, in particular, impulsive differential equations. (AU)

FAPESP's process: 16/24711-1 - Pullback attractors for cocycles
Grantee:Everaldo de Mello Bonotto
Support type: Regular Research Grants
FAPESP's process: 11/24027-0 - Dichotomies in Generalized Differential Equations and Applications
Grantee:Fábio Lima Santos
Support type: Scholarships in Brazil - Doctorate
FAPESP's process: 17/13795-2 - Non Absolute Integration and Applications
Grantee:Márcia Cristina Anderson Braz Federson
Support type: Regular Research Grants