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Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones

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Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones

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Title: Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones
Author: Mitchell, Roger W.; Mitchell, A. Richard; Lakshmikantham, V.
Abstract: Existence of maximal and minimal solutions for differential equations in abstract cones is established without requiring uniform continuity. Utilizing such a result an abstract comparison principle is developed. The results of the paper significantly improve earlier results of the authors and also simplify the proofs of other known results.
URI: http://hdl.handle.net/10106/2201
Date: 1975-06

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