The inverse problem concerning symmetries of ordinary differential equations | Zendy

F. González-Gascón | Zendy; Artemio González-López | Zendy

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The inverse problem concerning symmetries of ordinary differential equations

Author(s) -

F. González-Gascón,

Artemio González-López

Publication year - 1988

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.528000

Subject(s) - homogeneous space , mathematics , ordinary differential equation , lie group , pure mathematics , differential equation , integrating factor , mathematical physics , group (periodic table) , inverse , order (exchange) , mathematical analysis , physics , differential algebraic equation , quantum mechanics , geometry , finance , economics

It is shown that for any local Lie group G of transformations in R×Rn there exist differential systems of the form x(m=f(t,x,...,x(m−1), which are symmetrical under G. The order m_ of these systems is related to r_, the number of essential parameters of G.

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