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LINEAR DETERMINING EQUATIONS FOR DIFFERENTIAL CONSTRAINTS

Published online by Cambridge University Press:  14 July 2005

OLEG V. KAPTSOV  and
ALEXEY V. SCHMIDT
OLEG V. KAPTSOV
Affiliation:
Institute of Computing Modelling RAS, Akademgorodok, 660036, Krasnoyarsk, Russia e-mail: [email protected]
ALEXEY V. SCHMIDT
Affiliation:
Institute of Computing Modelling RAS, Akademgorodok, 660036, Krasnoyarsk, Russia e-mail: [email protected]
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Abstract

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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.

Keywords

34G2035K57
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue A , June 2005 , pp. 109 - 120
Copyright
2005 Glasgow Mathematical Journal Trust