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Dissipative decomposition of ordinary differential equations

Published online by Cambridge University Press:  14 November 2011

Peter J. Olver  and
Chehrzad Shakiban
Peter J. Olver
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, U.S.A.
Chehrzad Shakiban
Affiliation:
Mathematics Department, College of St. Thomas, St Paul, MN 55105, U.S.A.
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Synopsis

A general decomposition theorem that allows one to express uniquely arbitrary differential polynomials in one independent and one dependent variable as a combination of conservative, dissipative and higher order dissipative pieces is proved. The decomposition generalises the Rayleigh dissipation law for linear equations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 109 , Issue 3-4 , 1988 , pp. 297 - 317
Copyright
Copyright © Royal Society of Edinburgh 1988

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