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.
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© 1988 Springer Science+Business Media New York
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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
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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
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