On Singular Singularly-Perturbed Initial Value Problems.
Abstract
Consider the vector initial value problem epsilon y = f(t,y,epsilon), y(0) = y superscript 0 (epsilon) with f(t,y,0) = F(t)y + G(t) for a singular matrix F(t) of constant rank with stable eigenvalues and zero eigenvalues having simple elementary divisors. This paper shows how to determine the unique limiting solution when the reduced problem F Y sub 0 + G = 0 is solvable and how to obtain a uniform asymptotic expansion for the solution on finite t intervals. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1977
- Accession Number
- ADA039920
Entities
People
- R. E. O'malley Jr.
Organizations
- University of Arizona