Our aim is to investigate periodic and quasi periodic solutions of generalized ODEs by means of Lyapunov functionals. Then, using the correspondence between generalized ODEs and measure functional differential equations, we intend to extend the obtained results on periodic solutions to these equations. Besides, using the correspondence between measure functionals differential equations and impulsive functional differential equations on time scales, we intend to extende the results on periodic solution to these last equations. Also, we will investigate almost periodic solutions of generalized ODEs and we will apply the results to other type of equations described here.
News published in Agência FAPESP Newsletter about the scholarship: