1. Department of Mathematics, China University of Petroleum, Qingdao, Shandong 266555, PR China;2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China
Abstract:
This paper deals with first order integro-differential equations of mixed type with deviating arguments. We investigate the existence of solutions of such problems with integral boundary conditions by establishing a comparison result and applying the monotone iterative technique. To obtain corresponding results, we also discuss first order differential inequalities with deviating arguments. Two examples demonstrate the application of our results.