Initial value problems for second order impulsive integro-differential equations in Banach spaces (Q1377221)
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scientific article; zbMATH DE number 1112254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Initial value problems for second order impulsive integro-differential equations in Banach spaces |
scientific article; zbMATH DE number 1112254 |
Statements
Initial value problems for second order impulsive integro-differential equations in Banach spaces (English)
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22 March 1998
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The existence of extremal solutions of the initial value problem for a second-order nonlinear impulsive integrodifferential equation in a Banach space is investigated. The method is based on the Banach fixed point theorem and upper and lower solutions. The considerations are illustrated by an example of an infinite system of nonlinear scalar second-order integrodifferential equations.
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extremal solutions
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initial value problem
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second-order nonlinear impulsive integrodifferential equation
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Banach space
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upper and lower solutions
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infinite system
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