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

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 co...

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Bibliographic Details
Published in:Journal of Applied Mathematics and Stochastic Analysis
Main Authors: Byszewski, L, Papageorgiou, NS
Format: Article in Journal/Newspaper
Language:unknown
Published: 1999
Subjects:
Fixed Point Principle
Measurable Multifunctions
Measure of Noncompactness
Multivalued Darboux Problem
Nonlocal Conditions
Upper and Lower Semicontinuous Multifunctions
Darboux
North Atlantic
Online Access:http://dspace.lib.ntua.gr/handle/123456789/13035
https://doi.org/10.1155/S1048953399000180
Description
Summary: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. ©1999 by North Atlantic Science Publishing Company.

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