THE ERMAKOV EQUATION: A COMMENTARY

被引:89
作者
Leach, P. G. L. [1 ]
Andriopoulos, K. [2 ]
机构
[1] Univ KwaZulu Natal, IUCAA, ZA-4000 Durban, South Africa
[2] Univ KwaZulu Natal, Sch Math Sci, ZA-4000 Durban, South Africa
关键词
ERMAKOV; PINNEY; LEWIS; sl(2; R); invariant;
D O I
10.2298/AADM0802146L
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a short history of the ERMAKOV Equation with an emphasis on its discovery by the West and the subsequent boost to research into invariants for nonlinear systems although recognizing some of the significant developments in the East. We present the modern context of the ERMAKOV Equation in the algebraic and singularity theory of ordinary differential equations and applications to more divers fields. The reader is referred to the previous article (Appl. Anal. Discrete Math., 2 (2008), 123-145) for an English translation of ERMAKOV's original paper.
引用
收藏
页码:146 / 157
页数:12
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