A Generalization of Peano's Theorem and Flow Invariance.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Let F contained in R sub n be closed and AF maps to R sub n be continuous. Assuming that the distance from yhAy to F is oh as h tends to 0 , it is shown that for each x contained in F the Cauchy problem u prime Au, u0 x, has a solution u 0, T sub x maps to F on some interval 0, T sub x, T sub x 0. Author
- Theoretical Mathematics