Asymptotic Analysis of Solutions of Almost Diagonal Systems of Ordinary Linear Differential Equations at a Turning Point |
Contents
Formulation of the Problem | 6 |
A Particular Formal Series Solution | 11 |
On the Behavior of Certain Integrals | 14 |
6 other sections not shown
Common terms and phrases
admits an asymptotic antecedent assume assumption asymptotic character asymptotic expansion behavior bounded Condition constant contains corresponding defined depend described diag differential equation directions discussion domain eigenvalues equal exists fact fixed formal series solution four function fundamental matrix solution given holds holomorphic independent integral Jordan known Lemma lies linear matrix function means neighbourhood Noting obtain open half plane origin parameter particular path positive integer problem region requirements respect restrictive Riemann surface satisfy Section sector Sibuya simplified equation straight line segment stretching sufficiently small T-plane tĂ(x term Theorem thesis transformation turning point University of Wisconsin valid uniformly variable Wasow x-sector x₁ zero diagonal entries α β ατ µ N(µ τμ