An application of a noncompactness technique to an investigation of the existence of solutions to a nonlocal multivalued Darboux problem. (1999)

• Record Type: Journal Article
• Authors: Byszewski, Ludwik; Papageorgiou, Nikolaos S.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 12:Number 2(1999)
• Page Start: 179
• Page End: 190
• Publication Date: 1999
• Subjects: multivalued Darboux problem -- nonlocal conditions -- measure of noncompactness -- measurable multifunctions -- upper and lower semicontinuous multifunctions -- fixed point principle; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953399000180
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : 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.