Geodesic
Two-points boundary value problems for Carathéodory second order equations
Archivum mathematicum, Tome 44 (2008) no. 2, pp. 93-103.

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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.
Classification : 34B15, 47H10, 47N20
Keywords: continuation principle; coincidence degree; second order differential systems; bound sets; Floquet type boundary conditions 
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     author = {Taddei, Valentina},
     title = {Two-points boundary value problems for {Carath\'eodory} second order equations},
     journal = {Archivum mathematicum},
     pages = {93--103},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {2008},
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     zbl = {1212.34039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2008__44_2_a1/}
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Taddei, Valentina. Two-points boundary value problems for Carathéodory second order equations. Archivum mathematicum, Tome 44 (2008) no. 2, pp. 93-103. http://geodesic.mathdoc.fr/item/ARM_2008__44_2_a1/