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Nonlinear boundary problem of first order impulsive integro-differential equations
Authors:Lijing Chen  Jitao Sun
Institution:Department of Applied Mathematics, Tongji University, 200092, PR China
Abstract:This paper focuses on first-order impulsive integro-differential equations with nonlinear boundary. The lower and upper solutions combined with monotone iterative techniques are used to obtain the existence of extremal solutions of the problem. Numerical examples are given to prove its validity.
Keywords:Impulsive integro-differential equations  Nonlinear boundary  Upper and lower solution  Monotone iterative technique  Existence of solutions
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