Extremal solutions of classes of multivalued differential equations

Abstract

This paper is concerned with the existence of generalized extremal solutions for classes of multivalued boundary value problems. The results obtained generalize and improve the recent results obtained by Cichon [Ann. Soc. Math. Polonae 17 (1992) 11], Ibrahim [Int. J. Math. Math. Sci. (USA) 21 (1) (1998) 165], Papageorgiou [J. Math. Anal. Appl. 185 (1) (1994) 146], Tolstonogov [Soviet Math. Dokl. 43 (2) (1991) 481] and Truong [Bollettino U.M.I 7 (8-B) (1994) 349].