Journal
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS
Volume 2, Issue 2, Pages 146-157Publisher
UNIV BELGRADE, FAC ELECTRICAL ENGINEERING
DOI: 10.2298/AADM0802146L
Keywords
ERMAKOV; PINNEY; LEWIS; sl(2, R); invariant
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Funding
- State (Hellenic) Scholarship Foundation
- University of KwaZulu-Natal
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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.
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