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Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces

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Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces

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Title: Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces
Author: Moauro, V.; Leela, S.
Abstract: The study of the Cauchy problem for ordinary differential equations in a Banach space has been extensive [1,3-7,9-12]. The two main directions that are followed in such a study are (i) finding monotonicity type conditions which guarantee the existence as well as uniqueness of solutions and (ii) finding compactness type conditions which assure only the existence of solutions [3,4]. It is also known [10,12] that in order to prove the existence of solutions in a closed subset F of the Banach space, a boundary condition of the type [see pdf for notation] is required.
URI: http://hdl.handle.net/10106/2480
Date: 1977-01

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