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Perturbation versus Differentiation Indices
Author(s) -
Hausdorf M.,
Seiler W.M.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<514::aid-pamm514>3.0.co;2-f
Subject(s) - determinacy , perturbation (astronomy) , mathematics , mathematical analysis , differential equation , physics , quantum mechanics
We discuss the relation between differentiation and perturbation indices of over‐determined systems of differential equations. It is shown that the determinacy index of the perturbed system essentially gives the perturbation index of the original system. We indicate how this result can be extended to systems of partial differential equations.