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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer Science+Business Media New York
About this chapter
Cite this chapter
Arnold, V.I. (1988). Perturbation Theory. In: Geometrical Methods in the Theory of Ordinary Differential Equations. Grundlehren der mathematischen Wissenschaften, vol 250. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1037-5_4
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1037-5_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6994-6
Online ISBN: 978-1-4612-1037-5
eBook Packages: Springer Book Archive