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.
News published in Agência FAPESP Newsletter about the scholarship: