Asymptotic Behavior of Monodromy (eBook, PDF)
Carlos Simpson
eBook, PDF

Asymptotic Behavior of Monodromy (eBook, PDF)

Singularly Perturbed Differential Equations on a Riemann Surface

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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 soluti...

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