A note on the viable solutions for a class of nonconvex differential inclusions |
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| Authors: | Aurelian Cernea |
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| Affiliation: | (1) Faculty of Mathematics and Informatics, University of Bucharest, Academiei 14, 010014 Bucharest, Romania |
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| Abstract: | We prove the existence of viable solutions to the Cauchy problemx′ ∈F(x),x(0)=x 0, whereF is a multifunction defined on a convex locally compact setM of a Hilbert space that satisfiesF(x) ∩K xM ∩ ?F V (x) ≠ Ø, whereK xM is the contingent cone toM atx and ?F V is the Fréchet subdifferential of theφ-convex function of order twoV. |
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