Multiple positive solutions of a boundary value problem for a class of \(2n\)th-order \(m\)-point singular integro-differential equations in Banach spaces (Q833157)
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scientific article; zbMATH DE number 5593868
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple positive solutions of a boundary value problem for a class of \(2n\)th-order \(m\)-point singular integro-differential equations in Banach spaces |
scientific article; zbMATH DE number 5593868 |
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Multiple positive solutions of a boundary value problem for a class of \(2n\)th-order \(m\)-point singular integro-differential equations in Banach spaces (English)
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12 August 2009
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Existence of multiple positive solutions of an \(m\)-point boundary value problem for a \(2n\)th-order singular nonlinear integro-differential equation in a real Banach space is investigated, under suitable conditions, by means of fixed point index theory for completely continuous operators. Two examples are given to illustrate the theoretical results.
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\(2n\)th-order boundary value problem
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multiple solutions
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measure of non-compactness
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completely continuous operator
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fixed point index
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