• EXISTENCE THEOREM AND EXTREMAL SOLUTIONS FOR PERTURBED MEASURE DIFFERENTIAL EQUATIONS WITH MAXIMA

Abstract

In this paper, an existence theorem and extremal solution for perturbed abstract measure differential equations with maxima is proved via hybrid fixed point theorem of Dhage [B.C.Dhage, On, on some nonlinear alternatives of Leray-Schauder type and functional integral equations, Arch. Math. (Brno) 42(2006) 11-23] under the mixed generalized Lipschitz and Caratheodory condition.