Existence results for second-order impulsive neutral functional differential equations with nonlocal conditions (Q1040151)
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scientific article; zbMATH DE number 5637381
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for second-order impulsive neutral functional differential equations with nonlocal conditions |
scientific article; zbMATH DE number 5637381 |
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Existence results for second-order impulsive neutral functional differential equations with nonlocal conditions (English)
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23 November 2009
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A second-order impulsive neutral functional differential equation is considered. The solution is obtained by means of Sadovski's fixed point theorem for so called condensing maps on bounded closed convex subsets of a Banach space. Such type of problems occur during the study of processes subject to short-time perturbations. The pattern of assumptions in the main result is sophisticated and not easy to verify by the reader.
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functional differential equation
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Sadovski fixed point method
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condensing map
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