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Nonlinear boundary problem of first order impulsive integro-differential equations. (English) Zbl 1122.45007

The authors study first order impulsive integro-differential equations with nonlinear boundary. Monotone iterative techniques are used to obtain existence of extremal solutions. Following a review of the existing literature and details of the assumptions for the present work, they present basic theoretical results before moving on to consider their main results on existence of extremals. The paper concludes with some examples.

MSC:

45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
45L05 Theoretical approximation of solutions to integral equations
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