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A class of \(n^{\text{th}}\)-order impulsive integrodifferential equations in Banach spaces. (English) Zbl 1035.45009

Summary: By establishing a comparison result and using the monotone iterative technique, the author obtains the existence of maximal and minimal solutions of the initial value problem for a class of \(n^{\text{th}}\)-order impulsive integrodifferential equations in a Banach space.

MSC:

45N05 Abstract integral equations, integral equations in abstract spaces
45G10 Other nonlinear integral equations
45J05 Integro-ordinary differential equations
45L05 Theoretical approximation of solutions to integral equations
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References:

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