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A Scorza–Dragoni approach to second-order boundary value problems in abstract spaces |
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PP: 177-192 |
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Author(s) |
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Jan Andres,
Luisa Malaguti,
Martina Pavlackov´,
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Abstract |
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| The existence and localization of strong (Carath´eodory) solutions is proved for a second-order Floquet problem in a Banach space. The result is obtained by combining a continuation principle together with a bounding (Liapunov-like) functions approach. The application of the Scorza–Dragoni type technique allows us to use strictly localized transversality conditions.
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