EXISTENCE THEOREMS FOR NONLINEAR BOUNDARY-VALUE-PROBLEMS FOR 2ND-ORDER DIFFERENTIAL-INCLUSIONS

Authors
KANDILAKIS DA PAPAGEORGIOU NS
Citation
Da. Kandilakis et Ns. Papageorgiou, EXISTENCE THEOREMS FOR NONLINEAR BOUNDARY-VALUE-PROBLEMS FOR 2ND-ORDER DIFFERENTIAL-INCLUSIONS, Journal of differential equations, 132(1), 1996, pp. 107-125
Citations number
21
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
132
Issue
1
Year of publication
1996
Pages
107 - 125
Database
ISI
SICI code
0022-0396(1996)132:1<107:ETFNBF>2.0.ZU;2-C
Abstract
In this paper we consider a nonlinear two-point boundary value problem For second order differential inclusions. Using the Leray-Schauder pr inciple and its multivalued analog due to Dugundji-Granas, we prove ex istence theorems for convex and nonconvex problems. Our results are qu ite general and incorporate as special cases several classes of proble ms which are of interest in the literature. (C) 1996 Academic Press, I nc.