A class of BVPs for first order impulsive integro-differential equations (Q426406)
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scientific article; zbMATH DE number 6045191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of BVPs for first order impulsive integro-differential equations |
scientific article; zbMATH DE number 6045191 |
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A class of BVPs for first order impulsive integro-differential equations (English)
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11 June 2012
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The existence of solutions for a class of first order nonlinear impulsive integro-differential equations is considered. The existence of maximal and minimal solutions to the problem is proven by using an upper and lower solutions method together with a monotone iterative technique. Further, two monotone sequences are obtained that uniformly converge to the relevant solutions. An example is included to show the applicability of the result.
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impulsive integro-differential equations
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upper and lower solutions
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monotone iterative technique
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maximal and minimal solution
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