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On the Existence of Solutions of Differential Equations of Retarded Type in a Banach Space

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On the Existence of Solutions of Differential Equations of Retarded Type in a Banach Space

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Title: On the Existence of Solutions of Differential Equations of Retarded Type in a Banach Space
Author: Lakshmikantham, V.; Mitchell, Roger W.; Mitchell, A. Richard
Abstract: The existence and uniqueness of solutions of differential equations of retarded type in a Banach space are considered under a monotonicity type condition. The tools that are available for the study of equations without delay pose problems in this case since the domain and the range come from different Banach spaces. To overcome this difficulty, subsets of the domain have to be chosen carefully and weaker forms of differential inequalities have to be employed.
URI: http://hdl.handle.net/10106/2203
Date: 1975-06

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