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Integral boundary value problems for first order nonlinear impulsive functional integro-differential differential equations
Authors:Jiangfeng Han Yiliang Liu  Jing Zhao
Institution:School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, PR China
Abstract:In this paper, we consider the existence of solutions for first order nonlinear impulsive functional integro-differential equations with integral boundary value conditions. We firstly build a new comparison theorem. Then by utilizing the monotone iterative technique and the method of lower and upper solutions, we obtain the existence of extremal solutions or quasi-solutions.
Keywords:Integral boundary value problems  Monotone iterative technique  Extremal solutions  Quasi-solutions
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