PORTUGALIAE MATHEMATICA Vol. 52, No. 2, pp. 241250 (1995) 

Existence of Viable Solutions for NonconvexValued Differential Inclusions in Banach SpacesTruong Xuan Duc HaInstitute of Mathematics, P.O. Box 631,Bo Ho, 10000 Hanoi  VIETNAM Abstract: A local existence result is proved for the viability problem $$ \dot x(t)\in F(t,x(t)), x(0)=x_{0}, x(t)\in K, $$ where $F(\cdot,\cdot)$ is an integrably bounded, (strongly) measurable in $t$, Lipschitz continuous in $x$ multifunction with closed values and $K$ is a closed subset of a separable Banach space. Keywords: Viable solution; nonconvexvalued differential inclusion; Banach space. Classification (MSC2000): 34A60 Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1995 Sociedade Portuguesa de Matemática
