Differential equations with causal operators in a Banach space |
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| Affiliation: | 1. Department of Mathematics and Computer Science, Illinois Wesleyan University, Bloomington, IL 61702-2900, USA;2. Department of Mathematics, Catholic University of America, Washington, DC 20064, USA;3. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA |
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| Abstract: | In this paper, differential equations with causal operators in the framework of an arbitrary Banach space are studied. Basic results such as existence, uniqueness and global existence are proved. The theory of cones is employed to investigate the extremal solutions of such equations. |
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