Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1997-06-05
Nonlinear Sciences
Exactly Solvable and Integrable Systems
AmS-TeX, Version 2.1, amsppt style, 36 pages
Scientific paper
For the equations $y''=P(x,y) + 3Q(x,y)y' + 3R(x,y){y'}^2 + S(x,y){y'}^3$ the
problem of equivalence is considered. Some classical results are resumed in
order to prepare the background for the study of special subclass of such
equations, which arises in the theory of dynamical systems admitting the normal
shift.
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