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Problèmes aux limites pour des inclusions différentielles sans condition de croissance

Marlène Frigon (1991)

Annales Polonici Mathematici

 Abstract. Applying the topological transversality method of Granas and the a priori bounds technique, we prove some existence theorems for diflerential inclusions of the form x" ∈ F(t, x, x'), x ∈ ℬ, where F is a Carathéodory multifunction with convex, compact values. No growth condition will be imposed on F.

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