E. Naidenova, M. N. Popa, V. Orlov, “Classification of <nobr>$GL(2,\mathbb R)$</nobr>-orbi's dimensions for the differential equations' system with homogeneities of the 4th order”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, Number 1,Pages <nobr>25

Classification of $GL(2,\mathbb R)$-orbi's dimensions for the differential equations' system with homogeneities of the 4th order

E. Naidenova^a, M. N. Popa^a, V. Orlov^b

^a Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Moldova
^b Technical University of Moldova, Chisinau, Moldova

Abstract: Center-affine invariant conditions for $GL(2, \mathbb R)$-orbit's dimensions are defined for two-dimensional autonomous system of differential polynomial equations with homogeneities of the 4th order.

Keywords and phrases: Differential system, Lie algebra of the operators, $GL(2,\mathbb R)$-orbit.

MSC: 34C14

Received: 14.07.2007

Language: English