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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 6 > No. 2


A Scorza–Dragoni approach to second-order boundary value problems in abstract spaces

PP: 177-192
Jan Andres, Luisa Malaguti, Martina Pavlackov´,
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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