A Generalization of Peano's Theorem and Flow Invariance.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1972
- Accession Number
- AD0744336
Entities
People
- Michael G. Grandall
Organizations
- University of Wisconsin–Madison