On a nonconvex boundary value problem for a first order multivalued differential system
Cernea, Aurelian
Archivum Mathematicum, Tome 044 (2008), p. 237-244 / Harvested from Czech Digital Mathematics Library

We consider a boundary value problem for first order nonconvex differential inclusion and we obtain some existence results by using the set-valued contraction principle.

Publié le : 2008-01-01
Classification:  34A60,  34B15,  47N20
@article{119763,
     author = {Aurelian Cernea},
     title = {On a nonconvex boundary value problem for a first order multivalued differential system},
     journal = {Archivum Mathematicum},
     volume = {044},
     year = {2008},
     pages = {237-244},
     zbl = {1212.34021},
     mrnumber = {2462979},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119763}
}
Cernea, Aurelian. On a nonconvex boundary value problem for a first order multivalued differential system. Archivum Mathematicum, Tome 044 (2008) pp. 237-244. http://gdmltest.u-ga.fr/item/119763/

Boucherif, A.; Merabet, N. Chiboub-Fellah Boundary value problems for first order multivalued differential systems, Arch. Math. (Brno) 41 (2005), 187–195. (2005) | MR 2164669

Castaing, C.; Valadier, M. Convex Analysis and Measurable Multifunctions, Springer-Verlag, Berlin, 1977. (1977) | MR 0467310 | Zbl 0346.46038

Cernea, A. Existence for nonconvex integral inclusions via fixed points, Arch. Math. (Brno) 39 (2003), 293–298. (2003) | MR 2032102 | Zbl 1113.45014

Cernea, A. An existence result for nonlinear integrodifferential inclusions, Comm. Appl. Nonlinear Anal. 14 (2007), 17–24. (2007) | MR 2364691

Cernea, A. On the existence of solutions for a higher order differential inclusion without convexity, Electron. J. Qual. Theory Differ. Equ. 8 (2007), 1–8. (2007) | MR 2295686 | Zbl 1123.34046

Covitz, H.; Nadler Jr., S. B. Multivalued contraction mapping in generalized metric spaces, Israel J. Math. 8 (1970), 5–11. (1970) | Article | MR 0263062

Kannai, Z.; Tallos, P. Stability of solution sets of differential inclusions, Acta Sci. Math. (Szeged) 61 (1995), 197–207. (1995) | MR 1377359 | Zbl 0851.34015

Lim, T. C. On fixed point stability for set valued contractive mappings with applications to generalized differential equations, J. Math. Anal. Appl. 110 (1985), 436–441. (1985) | Article | MR 0805266 | Zbl 0593.47056

Tallos, P. A Filippov-Gronwall type inequality in infinite dimensional space, Pure Math. Appl. 5 (1994), 355–362. (1994) | MR 1343457