Abstract
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.
Original language | English (US) |
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Pages (from-to) | 297-317 |
Number of pages | 21 |
Journal | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
Volume | 109 |
Issue number | 3-4 |
DOIs | |
State | Published - 1988 |
Bibliographical note
Funding Information:t Research supported in part by NSF Grant DMS 86-02004 and by NATO Collaborative Research Grant RG 86/0055. X Research supported in part by College of St Thomas Faculty Development Grant.