On the existence of solutions for a higher order differential inclusion without convexity

Electronic Journal of Qualitative Theory of Differential Equations

Volumn , Issue , 2007, Pages 1-8

  Cernea, Aurelian ^a  

^a UNIVERSITY OF BUCHAREST   (Romania)

Author keywords

Contractive set valued map; Differential inclusion; Fixed point

Indexed keywords

EID: 33947582900     PISSN: None     EISSN: 14173875     Source Type: Journal    
DOI: 10.14232/ejqtde.2007.1.8     Document Type: Article

References (8)

1. M. Benchohra, J. R. Graef, J. Henderson and S. K. Ntouyas, Nonresonance impulsive higher order functional nonconvex-valued differential inclusions, Electron. J. Qual. Theory Differ. Equ. (2002), No 13, 13pp (electronic).
2. C. Castaing and M. Valadier, Convex Analysis and Measurable Multifunctions, LNM 580, Springer, Berlin, 1977.
3. A. Cernea, A Filippov type existence theorem for an infinite operational differential inclusion, Stud. Cere. Mat. 50 (1998), 15-22.
4. A. Cernea, An existence theorem for some nonconvex hyperbolic differential inclusions, Mathematica (Cluj) 45(68) (2003), 121-126.
5. A. Cernea, Existence for nonconvex integral inclusions via fixed points, Arch. Math. (Brno) 39 (2003), 293-298.
6. H. Covitz and S. B. Nadler jr., Multivalued contraction mapping in generalized metric spaces, Israel J. Math. 8 (1970), 5-11.
7. Z. Kannai and P. Tallos, Stability of solution sets of differential inclusions, Ada Sei. Math. (Szeged) 61(1995), 197-207.
8. T.C. Lirn, On fixed point stability for set valued contractive mappings with applications to generalized differential equations, J. Math. Anal. Appl. 110 (1985), 436-441.