The solvability of the second-order Floquet problem in a given set is established by means of C2-bounding functions for vector upper-Carathéodory systems. The applied Scorza-Dragoni type technique allows us to impose related conditions strictly on the boundaries of bound sets. An illustrating example is supplied for a dry friction problem.
Strictly localized bounding functions for vector second-order boundary value problems / J., Andres; Malaguti, Luisa; M., Pavlačková. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 71:12(2009), pp. 6019-6028. [10.1016/j.na.2009.05.035]
Strictly localized bounding functions for vector second-order boundary value problems
MALAGUTI, Luisa;
2009
Abstract
The solvability of the second-order Floquet problem in a given set is established by means of C2-bounding functions for vector upper-Carathéodory systems. The applied Scorza-Dragoni type technique allows us to impose related conditions strictly on the boundaries of bound sets. An illustrating example is supplied for a dry friction problem.
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