Functional boundary value problems for second-order functional-differential equations of neutral type (Q2748017)
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scientific article; zbMATH DE number 1658765
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional boundary value problems for second-order functional-differential equations of neutral type |
scientific article; zbMATH DE number 1658765 |
Statements
18 August 2002
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existence
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\(\alpha\)-condensing operators
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contractive operator
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functional boundary value problems
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second-order functional-differential equations
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Functional boundary value problems for second-order functional-differential equations of neutral type (English)
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The author deals with the functional-differential equation of neutral type \((x'(t) +L( x') ( t))'=F( x) ( t) \) subject to functional boundary conditions. Existence results are obtained by the Leray-Schauder degree and the Borsuk theorem for \(\alpha\)-condensing operators, assuming a sublinear functional growth of \(F\) and that \(L\) is a contractive operator.
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