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...
Published in: | Journal of Applied Mathematics and Stochastic Analysis |
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Main Authors: | , |
Format: | Article in Journal/Newspaper |
Language: | unknown |
Published: |
1999
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Subjects: | |
Online Access: | http://dspace.lib.ntua.gr/handle/123456789/13035 https://doi.org/10.1155/S1048953399000180 |
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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