Two-points boundary value problems for Carathéodory second order equations

Valentina Taddei

Address: Department of Information Engineering, University of Siena via Roma 56, I-53100 Siena, Italy


Abstract: Using a suitable version of Mawhin’s continuation principle, we obtain an existence result for the Floquet boundary value problem for second order Carathéodory differential equations by means of strictly localized $ C^2 $ bounding functions.

AMSclassification: Primary: 34B15; Secondary: 47H10.

Keywords: continuation principle, coincidence degree, second order differential systems, bound sets, Floquet type boundary conditions