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Integral boundary value problems for first order integro-differential equations with deviating arguments
Authors:Guotao Wang  Guangxing Song  Lihong Zhang
Institution: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.
Keywords:Integro-differential equations of mixed type  Deviating arguments  Integral boundary value conditions  Monotone iterative technique  Existence of solutions
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