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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 …