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

Authors

Jan Andres, Fac. of Science, Palack´y University, 17. listopadu 12, 771 46 Olomouc, Czech Republic,Follow
Luisa Malaguti
Martina Pavlackov´

Abstract

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.

Suggested Reviewers

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Recommended Citation

Andres, Jan; Malaguti, Luisa; and Pavlackov´, Martina (2012) "A Scorza–Dragoni approach to second-order boundary value problems in abstract spaces," Applied Mathematics & Information Sciences: Vol. 06: Iss. 2, Article 3.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol06/iss2/3