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.
@article{bwmeta1.element.desklight-ec7e2df0-914c-4c1a-a0a5-bb440c0cb89f, author = {Marl\`ene Frigon}, title = {Probl\`emes aux limites pour des inclusions diff\'erentielles sans condition de croissance}, journal = {Annales Polonici Mathematici}, volume = {55}, year = {1991}, pages = {69-83}, zbl = {0812.34016}, language = {fra}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.desklight-ec7e2df0-914c-4c1a-a0a5-bb440c0cb89f} }
Marlène Frigon. Problèmes aux limites pour des inclusions différentielles sans condition de croissance. Annales Polonici Mathematici, Tome 55 (1991) pp. 69-83. http://gdmltest.u-ga.fr/item/bwmeta1.element.desklight-ec7e2df0-914c-4c1a-a0a5-bb440c0cb89f/
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