One-sided continuous dependence of maximal solutions |
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Authors: | Eric Schechter |
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Institution: | Mathematics Research Center, University of Wisconsin, Madison, Wisconsin 53706 USA |
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Abstract: | We consider the maximal solution of , where ? satisfies a one-sided variant of Carathéodory's conditions. A best-possible condition is proved for the dependence of u on ?. Also we show that a function v satisfies if and only if v is dominated by the maximal solution u. |
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Keywords: | |
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