Approximating solutions of nonlinear hybrid differential equations

We prove the existence as well as approximations of the solutions of initial value problems of first order ordinary nonlinear hybrid differential equations. We rely our results on a recent hybrid fixed point theorem of Dhage (2014) in partially ordered normed linear spaces. A realization is also indicated to illustrate the abstract theory developed in the paper. (C) 2014 Elsevier Ltd. All rights reserved.