Kneser's theorem for weak solutions of the Darboux problem in Banach spaces (original) (raw)
1993, Nonlinear Analysis: Theory, Methods & Applications
AI-generated Abstract
The paper presents a Kneser-type theorem for weak solutions to the Darboux problem in Banach spaces, establishing the nonemptiness, compactness, and connectedness of the set of weak solutions. It utilizes the measure of weak noncompactness and weakly continuous function spaces, offering significant insights into the structure and properties of weak solutions under these conditions.
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