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)|
|Number of pages||21|
|Journal||Proceedings of the Royal Society of Edinburgh: Section A Mathematics|
|State||Published - 1988|
Bibliographical noteFunding 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.