Linear generalized differentia equations and applications to impulsive ODEs

• Grant number: 09/10921-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2010
• End date: July 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Márcia Cristina Anderson Braz Federson
• Grantee: Rodolfo Collegari
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

In this project, we will consider certain linear differential equation subject to impulse action and we will consider its perturbed equation as well. We are interested in stablishing a variation of constants formula in order to relate the solutions of both equations. We also intend to investigate boundary value problems for linear ODEs and their corresponding perturbed equations. The method with which we will treat these problems is the approach by the theory of linear generalized differential equations and its relations with classic ODEs and impulsive ODEs. (AU)