Functional differential equations with delay and impulses

• Grant number: 08/02879-1
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2008
• End date: May 31, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Márcia Cristina Anderson Braz Federson
• Grantee: Márcia Cristina Anderson Braz Federson
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The purpose of this project is to continue our scientific research which, nowadays, lies on the investigation of problems involving the dynamics of systems with delays or impulses. We intend to study the dynamics defined by Retarded Functional Differential Equations (RFDEs) by analysing qualitative properties of the solutions. One method we will employ is the theory of generalized ordinary differential equations which can be related to a large class of RFDEs or impulsive RFDEs. (AU)

Scientific publications

(8)

(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)

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. (08/02879-1)

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. (08/04159-6, 08/02879-1, 10/08994-7)

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. (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. (08/02879-1)

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. (08/02879-1)

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. (08/02879-1)

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. (08/02879-1)

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. (08/04159-6, 08/02879-1)