On second-order boundary value problems in Banach spaces: a bound sets approach (Q648538)
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scientific article; zbMATH DE number 5976869
| Language | Label | Description | Also known as |
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| English | On second-order boundary value problems in Banach spaces: a bound sets approach |
scientific article; zbMATH DE number 5976869 |
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On second-order boundary value problems in Banach spaces: a bound sets approach (English)
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22 November 2011
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The authors consider the Floquet boundary value problem for second-order differential inclusions, where the right-hand side is an upper Carathéodory multivalued mapping. The main tool in proving existence and localization of solutions is topological degree theory connected with the guiding function method (so-called also potential method). Some illustrative examples are presented. The obtained results are essential and interesting. The presented proofs are technically complicated.
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