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Linear Generalized Differentia Equations and Applications to Impulsive ODEs

Grant number: 09/10921-0
Support type:Scholarships in Brazil - Master
Effective date (Start): March 01, 2010
Effective date (End): July 31, 2011
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Márcia Cristina Anderson Braz Federson
Grantee:Rodolfo Collegari
Home 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 theis corresponding perturbed equations. The mothod 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.

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