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dc.contributor.author |
Basarab-Horwath, P. |
|
dc.date.accessioned |
2019-06-15T15:58:37Z |
|
dc.date.available |
2019-06-15T15:58:37Z |
|
dc.date.issued |
1991 |
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dc.identifier.citation |
Integrability by quadratures for systems of involutive vector fields/ P. Basarab-Horwath // Український математичний журнал. — 1991. — Т. 43, № 10. — С. 1330–1337. — Бібліогр.: 9 назв. — англ. |
uk_UA |
dc.identifier.issn |
1027-3190 |
|
dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/154478 |
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dc.description.abstract |
Starting from results and ideas of S. Lie anb E. Cartan, we give a systematic and geometric treatment of integrability dy quadratures of involutive systems of vector filds, showing how-a-generalization of the usual multiplier can-de constructed with the aid of closed differential forms and enough symmetry vector fields. This leads us to explicit formulas for the indepen-. dent integrals. These results allow us to identify symmetries with integral invariants in the sense of Poincare and Cartan. A further (new) result gives the equivalence of integrability by quadratures and the existence of solvable structures, these latter being generalizations. of solvable algebras. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Український математичний журнал |
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dc.subject |
Статті |
uk_UA |
dc.title |
Integrability by quadratures for systems of involutive vector fields |
uk_UA |
dc.title.alternative |
Интегрирование в квадратурах инволютивных систем векторных полей |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
dc.identifier.udc |
517.9 |
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