Recursive properties and oscillation of impulsive dynamical systems

• Grant number: 19/03188-7
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2019
• End date: April 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Everaldo de Mello Bonotto
• Grantee: Everaldo de Mello Bonotto
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Impulsive systems are used to describe the evolution of process whose continuous dynamics are interrupted by abrupt changes of state. Many natural phenomena are described by systems which involve impulses.The present project lies on the investigation of qualitative properties for impulsive dynamical systems. We shall study recursive properties and oscillation results of impulsive systems. (AU)

Scientific publications

(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)

BONOTTO, E. M.; FEDERSON, M.; GADOTTI, M. C.. Recursive properties of generalized ordinary differential equations and applications. Journal of Differential Equations, v. 303, p. 123-155, DEC 5 2021. (17/13795-2, 19/03188-7)

AFONSO, S. M.; BONOTTO, E. M.; DA SILVA, MARCIA R.. Periodic solutions of measure functional differential. Journal of Differential Equations, v. 309, p. 196-230, FEB 5 2022. (19/03188-7)