Existence theorems for second order three-point boundary value problems containing impulses in a Banach space. (Q1432764)
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scientific article; zbMATH DE number 2076391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence theorems for second order three-point boundary value problems containing impulses in a Banach space. |
scientific article; zbMATH DE number 2076391 |
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Existence theorems for second order three-point boundary value problems containing impulses in a Banach space. (English)
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22 June 2004
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This paper deals with the existence of solutions for three-point boundary value problems for second-order nonlinear impulsive integro-differential equations in a Banach space. The authors used the Kuratowski measure of noncompactness of sets and the Leray- Schauder fixed-point theorem to establish the existence of solutions. In order to achieve this goal, the authors establish some a-priori estimates.
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implulse integrodifferential equations
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three-point boundary value problem
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Kuratowski measure of noncompactness
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Leary-Schauder fixed-point theorem
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prior estimates
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