B. V. Loginov, Yu. B. Rousak, L. R. Kim-Tyan, “Normal forms of the degenerate differential autonomous and non autonomous equations with the maximal Jordan chain of length two and three”, Bulletin of Irkutsk State University. Series Mathematics, 2015, Volume 12,Pages <nobr>58

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Normal forms of the degenerate differential autonomous and non autonomous equations with the maximal Jordan chain of length two and three

B. V. Loginov^a, Yu. B. Rousak^b, L. R. Kim-Tyan^c

^a Ulyanovsk State Technical University, 32, Severny Venetz st., Ulyanovsk, 432027
^b Department of Families, Housing, Community Services and Indigenous Affairs, Government of Australia, Canberra, Australia
^c National University of Science and Technology (MISIS), Moscow, 4, Leninskii pr., 119049

Abstract: Standard methods of normal form construction are adapted for degenerate differential equations in the case of the existence of maximal length Jordan chain. For $n=2$ and $3$ examples are considered. Some of indicated normal forms are obtained for non autonomous systems at the usage of determined in the article differential Jordan chains.

Keywords: degenerate differential equations, normal forms, Jordan chains, differential Jordan chains.

UDC: 517.9