Integral boundary value problems for first order nonlinear impulsive functional integro-differential differential equations |
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Authors: | Jiangfeng Han Yiliang Liu Jing Zhao |
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Institution: | School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, PR China |
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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. |
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Keywords: | Integral boundary value problems Monotone iterative technique Extremal solutions Quasi-solutions |
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