Generalized ordinary differential equations and applications

• Grant number: 13/22050-0
• Support type: Regular Research Grants
• Duration: February 01, 2014 - January 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal researcher: Márcia Cristina Anderson Braz Federson
• Grantee: Márcia Cristina Anderson Braz Federson
• Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The main objective of this project is to continue our research on the theory of Generalized Ordinary Differential Equations (generalized ODEs) and its applications to other types of differential equations. (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)

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. (13/22050-0)

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. (13/22050-0)

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. (13/22050-0)