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Perturbation Theory

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Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 250)

Abstract

Most differential equations admit neither an exact analytic solution nor a complete qualitative description. Perturbation theory provides a most useful collection of methods for the study of equations close to equations of a specific form. These equations are called unperturbed, and their solutions are assumed to be known. Perturbation theory studies the effect of small changes in the differential equations on the behavior of solutions.

Keywords

Perturbation Theory Hamiltonian System Average Method Phase Portrait Action Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteMoscow GSP-1USSR

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