Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones
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1975-06Author
Mitchell, Roger W.
Mitchell, A. Richard
Lakshmikantham, V.
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**Please note that the full text is embargoed** 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.