Two-point boundary value problems for first order impulsive differential equations

Impulsive Differential Equations arise naturally in the description of physical systems that are subjected to sudden changes in their states. Most often the dynamics take place during a finite time interval. This leads to the study of boundary value problems for Impulsive Differential Equations. In this thesis, we consider two-point boundary value problems for first order Impulsive Differential Equations. We state sufficient conditions on the data in order to obtain the existence of a least one solution. Our technique of proofs relies on fixed point theorems and topological transversality theorem.