CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation for the last research proposal) Birthplace: Brazil
BS in Mathematics from Universidade Presbiteriana Mackenzie (1988), master and doctos degrees in Mathematics from the Universidade de São Paulo (1993 and 1998). Full Professor at the Instituto de Ciências Matemáticas e de Computação of the Universidade de São Paulo. Areas of interest include non-absolute Kurzweil-Henstock Integration Theory, Generalized Ordinary Differential Equations, Integral Equations and Functional Differential Equations. (Source: Lattes Curriculum)
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We are investigating results on oscillations and non-oscillation of solutions of Nonlinear Functional Differential Equations and Generalized Ordinary Differential Equations and the participation of a renowned researcher in the subject is very important for us. The objectives of the visit are, therefore, the development of some stages of the mentioned project and the strengthening of the i…
(Only some records are available in English at this moment)
The objective of this project is to initiate the candidate in the participation in scientific research in the area of Non-Absolute Integration through the study and analysis of the fundamental theory of the Kurzweil-Henstock Integral and some of its applications. (AU)
This project´s objective is to initiate the candidate in the process of active scientific research in the field of non-absolute integrals through the study and analysis of the fundamental theory of Generalized Riemann Integral, also known as the Kurzweil-Henstock integral. Some of the expected complementary activities for the candidate are: - participation in seminars and conferences with…
The aim of this project is to introduce the concept of oscillation for generalized ordinary differential equations, to obtain results concerning oscillatoty and non-oscillatory solutions and apply the results to the study of the asymptotic behaviour of solutions. Besides, we intend to apply the obtained results to measure ordinary differential equations which include, for instance, impuls…
(Only some records are available in English at this moment)
It is known that certain kinds of Retarded Differential Equations can be expressed as Integral Equations that is why we are interested in investigating this kind of equation. The purpose of this project, therefore, is to develop the theory of Integral Equations, when the integrals are considered in the sense of Kurzweil-Henstock or Kurzweil-Henstock-Stieltjes, through the identification o…
The present project of scientific research concerns about the theory of non-autonomousdynamical systems which describe the evolution of process whose continuous dynamics areinterrupted by abrupt changes of state, a phenomenon called impulse.This project lies on the investigation of qualitative properties for impulsive evolution process.We intend to generalize results from the continuous c…
The main purpose of this internship abroad is a deeper study of the non absolute integration theory for vector valued functions. The Dipartimento di Matematica e Informatica of Università Degli Studi Di Palermo has a very influent group who works with Real Analysis and Non Absolute Integration. The supervisor, professor Dr. Luiza Di Piazza, is an acknowledged researcher in this area and a…
| 18 / 16 | Completed research grants |
| 30 / 22 | Completed scholarships in Brazil |
| 3 / 3 | Completed scholarships abroad |
| 51 / 41 | All research grants and scholarships |
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(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
| Publications | 29 |
| Citations | 219 |
| Cit./Article | 7.6 |
| Data from Web of Science | |
FEDERSON, M.; MESQUITA, J. G.. AVERAGING PRINCIPLE FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSES AT VARIABLE TIMES VIA KURZWEIL EQUATIONS. DIFFERENTIAL AND INTEGRAL EQUATIONS, v. 26, n. 11-12, p. 1287-1320, NOV-DEC 2013. Web of Science Citations: 2. (08/02879-1)
MONTEIRO, GISELLE A.; TVRDY, MILAN. GENERALIZED LINEAR DIFFERENTIAL EQUATIONS IN A BANACH SPACE: CONTINUOUS DEPENDENCE ON A PARAMETER. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 33, n. 1, SI, p. 283-303, JAN 2013. Web of Science Citations: 17. (10/52215-2)
BONOTTO, E. M.; FEDERSON, M.. Poisson stability for impulsive semidynamical systems. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 71, n. 12, p. 6148-6156, DEC 15 2009. Web of Science Citations: 22. (08/02879-1)
BONOTTO, E. M.; GIMENES, L. P.; FEDERSON, M.. Oscillation for a second-order neutral differential equation with impulses. Applied Mathematics and Computation, v. 215, n. 1, p. 1-15, SEP 1 2009. Web of Science Citations: 7. (08/02879-1)
FEDERSON, M.; GRAU, R.; MESQUITA, J. G.. Prolongation of solutions of measure differential equations and dynamic equations on time scales. Mathematische Nachrichten, v. 292, n. 1, p. 22-55, JAN 2019. Web of Science Citations: 2. (13/22050-0)
AFONSO, S. M.; BONOTTO, E. M.; FEDERSON, M.; GIMENES, L. P.. Stability of functional differential equations with variable impulsive perturbations via generalized ordinary differential equations. BULLETIN DES SCIENCES MATHEMATIQUES, v. 137, n. 2, p. 189-214, MAR 2013. Web of Science Citations: 13. (08/04159-6, 10/08994-7, 08/02879-1)
FEDERSON, MARCIA; MESQUITA, JAQUELINE G.; SLAVIK, ANTONIN. Measure functional differential equations and functional dynamic equations on time scales. Journal of Differential Equations, v. 252, n. 6, p. 3816-3847, MAR 15 2012. Web of Science Citations: 46. (10/12673-1, 10/09139-3)
BOHNER, MARTIN; FEDERSON, MARCIA; MESQUITA, JAQUELINE GODOY. Continuous dependence for impulsive functional dynamic equations involving variable time scales. Applied Mathematics and Computation, v. 221, p. 383-393, SEP 15 2013. Web of Science Citations: 7. (10/12673-1, 11/51745-0, 10/09139-3)
MESQUITA, JAQUELINE GODOY; SLAVIK, ANTONIN. Periodic averaging theorems for various types of equations. Journal of Mathematical Analysis and Applications, v. 387, n. 2, p. 862-877, MAR 15 2012. Web of Science Citations: 11. (10/12673-1)
FEDERSON, M.; GYORI, I; MESQUITA, J. G.; TABOAS, P.. A Delay Differential Equation with an Impulsive Self-Support Condition. Journal of Dynamics and Differential Equations, v. 32, n. 2, p. 605-614, JUN 2020. Web of Science Citations: 0. (13/17104-3, 17/13795-2, 14/04732-9)
BONOTTO, E. M.; BORTOLAN, M. C.; CARABALLO, T.; COLLEGARI, R.. Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems. Journal of Dynamics and Differential Equations, v. 33, n. 1, DEC 2019. Web of Science Citations: 1. (16/24711-1, 14/20691-0)
DEMUNER, D. P.; FEDERSON, M.; GUTIERREZ, C.. THE POINCARE-BENDIXSON THEOREM ON THE KLEIN BOTTLE FOR CONTINUOUS VECTOR FIELDS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 25, n. 2, p. 495-509, OCT 2009. Web of Science Citations: 3. (08/02879-1)
FEDERSON, M.; GRAU, R.; MESQUITA, J. G.; TOON, E.. Lyapunov stability for measure differential equations and dynamic equations on time scales. Journal of Differential Equations, v. 267, n. 7, p. 4192-4223, SEP 15 2019. Web of Science Citations: 1. (13/22050-0)
BONOTTO, E. M.; FEDERSON, M.; SANTOS, F. L.. Dichotomies for generalized ordinary differential equations and applications. Journal of Differential Equations, v. 264, n. 5, p. 3131-3173, MAR 1 2018. Web of Science Citations: 0. (16/24711-1, 11/24027-0)
COLLEGARI, RODOLFO; FEDERSON, MARCIA; FRASSON, MIGUEL. LINEAR FDES IN THE FRAME OF GENERALIZED ODES: VARIATION-OF-CONSTANTS FORMULA. CZECHOSLOVAK MATHEMATICAL JOURNAL, v. 68, n. 4, p. 889-920, DEC 2018. Web of Science Citations: 1. (11/01316-6)
FEDERSON, M.; MAWHIN, J.; MESQUITA, C.. Existence of periodic solutions and bifurcation points for generalized ordinary differential equations. BULLETIN DES SCIENCES MATHEMATIQUES, v. 169, JUL 2021. Web of Science Citations: 1. (17/13795-2)
BONOTTO, E. M.; FEDERSON, M.; SANTOS, F. L.. Robustness of Exponential Dichotomies for Generalized Ordinary Differential Equations. Journal of Dynamics and Differential Equations, v. 32, n. 4, OCT 2019. Web of Science Citations: 0. (16/24711-1, 11/24027-0, 17/13795-2)
FEDERSON, MARCIA; MESQUITA, JAQUELINE G.; TOON, EDUARD. Lyapunov theorems for measure functional differential equations via Kurzweil-equations. Mathematische Nachrichten, v. 288, n. 13, p. 1487-1511, SEP 2015. Web of Science Citations: 1. (10/09139-3, 09/06259-0)
FEDERSON, M.; GRAU, R.; MESQUITA, J. G.; TOON, E.. Boundedness of solutions of measure differential equations and dynamic equations on time scales. Journal of Differential Equations, v. 263, n. 1, p. 26-56, JUL 5 2017. Web of Science Citations: 5. (13/22050-0)
BONOTTO, E. M.; BORTOLAN, M. C.; COLLEGARI, R.; CZAJA, R.. Semicontinuity of attractors for impulsive dynamical systems. Journal of Differential Equations, v. 261, n. 8, p. 4338-4367, OCT 15 2016. Web of Science Citations: 2. (14/20691-0, 13/23933-2, 14/25970-5)
BONOTTO, E. M.; BORTOLAN, M. C.; CARABALLO, T.; COLLEGARI, R.. Impulsive surfaces on dynamical systems. ACTA MATHEMATICA HUNGARICA, v. 150, n. 1, p. 209-216, OCT 2016. Web of Science Citations: 0. (14/20691-0, 13/23933-2)
BONOTTO, E. M.; BORTOLAN, M. C.; CARABALLO, T.; COLLEGARI, R.. Attractors for impulsive non-autonomous dynamical systems and their relations. Journal of Differential Equations, v. 262, n. 6, p. 3524-3550, MAR 15 2017. Web of Science Citations: 7. (14/20691-0, 14/25970-5)
FEDERSON, M.; FRASSON, M.; MESQUITA, J. G.; TACURI, P. H.. Measure Neutral Functional Differential Equations as Generalized ODEs. Journal of Dynamics and Differential Equations, v. 31, n. 1, p. 207-236, MAR 2019. Web of Science Citations: 0. (17/13795-2)
BONOTTO, EVERALDO M.; BORTOLAN, MATHEUS C.; CARABALLO, TOMAS; COLLEGARI, RODOLFO. Impulsive non-autonomous dynamical systems and impulsive cocycle attractors. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 40, n. 4, p. 1095-1113, MAR 15 2017. Web of Science Citations: 5. (14/20691-0, 13/23933-2, 14/25970-5)
FEDERSON, MARCIA; MESQUITA, JAQUELINE GODOY. A new continuous dependence result for impulsive retarded functional differential equations. CZECHOSLOVAK MATHEMATICAL JOURNAL, v. 66, n. 1, p. 1-12, MAR 2016. Web of Science Citations: 0. (08/02879-1)
FEDERSON, MARCIA; MESQUITA, JAQUELINE GODOY; SLAVIK, ANTONIN. Basic results for functional differential and dynamic equations involving impulses. Mathematische Nachrichten, v. 286, n. 2-3, p. 181-204, 2013. Web of Science Citations: 33. (10/12673-1)
FEDERSON, M.; MESQUITA, J. G.. Averaging for retarded functional differential equations. Journal of Mathematical Analysis and Applications, v. 382, n. 1, p. 77-85, OCT 1 2011. Web of Science Citations: 6. (08/02879-1)
FEDERSON, M.; MESQUITA, J. G.. Non-periodic averaging principles for measure functional differential equations and functional dynamic equations on time scales involving impulses. Journal of Differential Equations, v. 255, n. 10, p. 3098-3126, NOV 15 2013. Web of Science Citations: 8. (10/12673-1, 10/09139-3)
AFONSO, S. M.; BONOTTO, E. M.; FEDERSON, M.; SCHWABIK, S.. Discontinuous local semiflows for Kurzweil equations leading to LaSalle's invariance principle for differential systems with impulses at variable times. Journal of Differential Equations, v. 250, n. 7, p. 2969-3001, APR 1 2011. Web of Science Citations: 19. (08/04159-6, 08/02879-1)
(References retrieved automatically from State of São Paulo Research Institutions)
MARQUES, Rafael dos Santos. Equações integrais no sentido da integral de Kurzweil e aplicações. Dissertação (Mestrado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (13/22174-0)
SANTOS, Fábio Lima. Dicotomias em equações diferenciais ordinárias generalizadas e aplicações. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (11/24027-0)
COLLEGARI, Rodolfo. Equações diferenciais ordinárias generalizadas lineares e aplicações às equações diferenciais funcionais lineares. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (11/01316-6)
AFONSO, Suzete Maria Silva. Equações diferenciais funcionais com retardamento e impulsos em tempo variável via equações diferenciais ordinárias generalizadas. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (08/04159-6)
MONTEIRO, Giselle Antunes. Generalized linear differential equations in a Banach space: continuous dependence on parameters and applications. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (11/06392-2)
MESQUITA, Jaqueline Godoy. Equações diferenciais funcionais em medida e equações dinâmicas funcionais impulsivas em escalas temporais. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (10/12673-1)
TOON, Eduard. Equações diferenciais ordinárias generalizadas e aplicações às equações diferenciais clássicas. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (09/06259-0)
FEDERSON, Márcia Cristina Anderson Braz. Formulas de substituição para as integrais de gauge. Dissertação (Mestrado) - Instituto de Matemática e Estatística. Universidade de São Paulo (USP). São Paulo. (92/01452-4)
SILVA, Marielle Aparecida. Teoria de oscilações para equações diferenciais em medida. Dissertação (Mestrado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (15/12489-0)
FURTADO, André Luiz. Sobre soluções periódicas de equações diferenciais com retardo e impulsos. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (08/00197-0)