The existence and localization of strong (Carathéodory) solutions is proved for a second-order Floquet problem in a Banachspace. The result is obtained by combining a continuation principle together with a bounding (Liapunov-like) functions approach. Theapplication of the Scorza–Dragoni type technique allows us to use strictly localized transversality conditions.
A Scorza-Dragoni approach to second-order boundary value problems in abstract spaces / J., Andres; Malaguti, Luisa; M., Pavlačková. - In: APPLIED MATHEMATICS & INFORMATION SCIENCES. - ISSN 1935-0090. - ELETTRONICO. - 6:2(2012), pp. 177-192.
A Scorza-Dragoni approach to second-order boundary value problems in abstract spaces
MALAGUTI, Luisa;
2012
Abstract
The existence and localization of strong (Carathéodory) solutions is proved for a second-order Floquet problem in a Banachspace. The result is obtained by combining a continuation principle together with a bounding (Liapunov-like) functions approach. Theapplication of the Scorza–Dragoni type technique allows us to use strictly localized transversality conditions.
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