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) : Grandall,Michael G.

Report Date : MAY 1972

Pagination or Media Count : 10

Abstract : Let F contained in (R sub n) be closed and A:F maps to (R sub n) be continuous. Assuming that the distance from y+hAy to F is o(h) as h tends to 0 +, it is shown that for each x contained in F the Cauchy problem u prime = Au, u(0) = x, has a solution u: (0, T sub x) maps to F on some interval (0, T sub x), (T sub x > 0. (Author)

Descriptors :   (*CAUCHY PROBLEM, NUMERICAL INTEGRATION), SET THEORY, INVARIANCE, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE