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Differential Equations on Closed Subsets of a Banach Space

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Differential Equations on Closed Subsets of a Banach Space

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Title: Differential Equations on Closed Subsets of a Banach Space
Author: Lakshmikantham, V.
Abstract: The problem of existence of solutions to the initial value problem [see pdf for notations], where [see pdf for notations], F is a locally closed subset of a Banach space E. Nonlinear comparison functions and dissipative type conditions in terms of Lyapunovlike functions are employed. A new comparison theorem is established which helps in surmounting the difficulties that arise in this general set-up.
URI: http://hdl.handle.net/10106/2155
Date: 1974-07

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