Geodesic
On a nonconvex boundary value problem for a first order multivalued differential system
Archivum mathematicum, Tome 44 (2008) no. 3, pp. 237-244 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 34A60, 34B15, 47N20
Keywords: boundary value problem; differential inclusion; contractive set-valued map; fixed point 
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Cernea, Aurelian. On a nonconvex boundary value problem for a first order multivalued differential system. Archivum mathematicum, Tome 44 (2008) no. 3, pp. 237-244. http://geodesic.mathdoc.fr/item/ARM_2008_44_3_a7/

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

[2] Castaing, C., Valadier, M.: Convex Analysis and Measurable Multifunctions. Springer-Verlag, Berlin, 1977. | MR | Zbl

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

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

[5] 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. | MR | Zbl

[6] Covitz, H., Nadler jr., S. B.: Multivalued contraction mapping in generalized metric spaces. Israel J. Math. 8 (1970), 5–11. | DOI | MR

[7] Kannai, Z., Tallos, P.: Stability of solution sets of differential inclusions. Acta Sci. Math. (Szeged) 61 (1995), 197–207. | MR | Zbl

[8] 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. | DOI | MR | Zbl

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