By Carlos Simpson

This ebook matters the query of ways the answer of a procedure of ODE's varies whilst the differential equation varies. The aim is to offer nonzero asymptotic expansions for the answer when it comes to a parameter expressing how a few coefficients visit infinity. a specific classof households of equations is taken into account, the place the reply shows a brand new type of habit now not noticeable in so much paintings identified previously. The thoughts comprise Laplace rework and the strategy of desk bound section, and a combinatorial process for estimating the contributions of phrases in an enormous sequence growth for the answer. Addressed essentially to researchers inalgebraic geometry, traditional differential equations and complicated research, the e-book can also be of curiosity to utilized mathematicians engaged on asymptotics of singular perturbations and numerical answer of ODE's.

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