Geodesic
LINEAR DETERMINING EQUATIONS FOR DIFFERENTIAL CONSTRAINTS
Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 109-120

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DOI

A construction of differential constraints compatible with the Gibbons-Tsarev equation is considered. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the classical determining equations that are used in searching for Lie operators. We introduce the notion of an invariant solution under an involutive distribution and give sufficient conditions for existence of such solutions.
DOI : 10.1017/S0017089505002338
Mots-clés : 34G20, 35K57 
KAPTSOV, OLEG V.; SCHMIDT, ALEXEY V. LINEAR DETERMINING EQUATIONS FOR DIFFERENTIAL CONSTRAINTS. Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 109-120. doi: 10.1017/S0017089505002338
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     author = {KAPTSOV, OLEG V. and SCHMIDT, ALEXEY V.},
     title = {LINEAR {DETERMINING} {EQUATIONS} {FOR} {DIFFERENTIAL} {CONSTRAINTS}},
     journal = {Glasgow mathematical journal},
     pages = {109--120},
     year = {2005},
     volume = {47},
     number = {A},
     doi = {10.1017/S0017089505002338},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002338/}
}
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