By Carlos Simpson
This e-book matters the query of ways the answer of a approach of ODE's varies whilst the differential equation varies. The aim is to provide nonzero asymptotic expansions for the answer by way of a parameter expressing how a few coefficients visit infinity. a specific classof households of equations is taken into account, the place the reply indicates a brand new type of habit no longer obvious in such a lot paintings identified formerly. The innovations comprise Laplace remodel and the strategy of desk bound section, and a combinatorial process for estimating the contributions of phrases in an enormous sequence enlargement for the answer. Addressed essentially to researchers inalgebraic geometry, usual differential equations and complicated research, the publication can also be of curiosity to utilized mathematicians engaged on asymptotics of singular perturbations and numerical resolution of ODE's.
Read or Download Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface (Lecture Notes in Mathematics) PDF
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