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

Ludwik Byszewski and Nikolaos S. Papageorgiou

International Journal of Stochastic Analysis, 1999, vol. 12, 1-12

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.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:510689

DOI: 10.1155/S1048953399000180

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