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Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface

Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface (Paperback)

£22.99
Printed to order. Despatched in 2-3 weeks.
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Synopsis

This book concerns the question of how the solution of a

system of ODE's varies when the differential equation

varies. The goal is to give nonzero asymptotic expansions

for the solution in terms of a parameter expressing how some

coefficients go to infinity. A particular classof families

of equations is considered, where the answer exhibits a new

kind of behavior not seen in most work known until now. The

techniques include Laplace transform and the method of

stationary phase, and a combinatorial technique for

estimating the contributions of terms in an infinite series

expansion for the solution. Addressed primarily to

researchers inalgebraic geometry, ordinary differential

equations and complex analysis, the book will also be of

interest to applied mathematicians working on asymptotics of

singular perturbations and numerical solution of ODE's.

Science & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equations Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 11/12/1991 ISBN-13: 9783540550099  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

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