Rational bases of GL(2,R)-comitants and of GL(2,R)-invariants for the planar system of differential equations with nonlinearities of the fourth degree
Закрыть
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
715 7
Ultima descărcare din IBN:
2018-11-01 13:44
Căutarea după subiecte
similare conform CZU
517.9+519.7+512.628 (1)
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (242)
Математическая кибернетика (93)
Алгебра (400)
SM ISO690:2012
CIUBOTARU, Stanislav. Rational bases of GL(2,R)-comitants and of GL(2,R)-invariants for the planar system of differential equations with nonlinearities of the fourth degree. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, nr. 3(79), pp. 14-34. ISSN 1024-7696.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(79) / 2015 / ISSN 1024-7696 /ISSNe 2587-4322

Rational bases of GL(2,R)-comitants and of GL(2,R)-invariants for the planar system of differential equations with nonlinearities of the fourth degree
CZU: 517.9+519.7+512.628

Pag. 14-34

Ciubotaru Stanislav
 
Institute of Mathematics and Computer Science ASM
 
Proiecte:
 
Disponibil în IBN: 10 iunie 2016


Rezumat

This paper is devoted to the construction of minimal rational bases of GL(2, R)-comitants and minimal rational bases of GL(2, R)-invariants for the bidimensional system of differential equations with nonlinearities of the fourth degree. For this system, three minimal rational bases of GL(2,R)-comitants and two minimal rational bases of GL(2, R)-invariants were constructed. It was established that any minimal rational basis of GL(2, R)-comitants contains 13 comitants and each minimal rational basis of GL(2, R)-invariants contains 11 invariants.

Cuvinte-cheie
Polynomial differential systems, invariant, comitant, transvectant,

rational basis.