Problèmes aux limites pour des inclusions différentielles sans condition de croissance
Tom 54 / 1991
Annales Polonici Mathematici 54 (1991), 69-83
DOI: 10.4064/ap-54-1-69-83
Streszczenie
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.