%0 Journal Article
%T An application of a noncompactness technique to an investigation of the existence of solutions to a nonlocal multivalued Darboux problem
%A Ludwik Byszewski
%A Nikolaos S. Papageorgiou
%J International Journal of Stochastic Analysis
%D 1999
%I Hindawi Publishing Corporation
%R 10.1155/s1048953399000180
%X The aim of the paper is to prove two theorems on the existence of solutions to a nonlocal multivalued Darboux problem. The first theorem concerns the case when the orientor field is convex valued. The second theorem concerns the case when the orientor field is nonconvex valued. A compactness type condition involving the ball measure of noncompactness is applied.
%K multivalued Darboux problem
%K nonlocal conditions
%K measure of noncompactness
%K measurable multifunctions
%K upper and lower semicontinuous multifunctions
%K fixed point principle.
%U http://dx.doi.org/10.1155/S1048953399000180