Accession Number:

AD0744336

Title:

A Generalization of Peano's Theorem and Flow Invariance.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1972-05-01

Pagination or Media Count:

10.0

Abstract:

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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE