Volume 3, Issue 3-4, September 1996, Pages 341 - 350
The Method of an Exact Linearization of n-order Ordinary Differential Equations
Available Online 2 September 1996.
- https://doi.org/10.2991/jnmp.1996.3.3-4.12How to use a DOI?
- Necessary and sufficient conditions are found that the n-order nonlinear and nonautonomous ordinary differential equation could be transformed into a linear equation with constant coefficients with the help, generally speaking, nonlocal transformation of dependent and independent variables. These conditions are expressed in termes of factorization through first order nonlinear differential operators. Examples are considered also. "Two subjects that are theoretical physics and integration of differential equations, are quitely impossible one without another, were always developing together, and the success of one of them influenced another" (V.P. Ermakov)
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TY - JOUR AU - L.M. BERKOVICH PY - 1996 DA - 1996/09 TI - The Method of an Exact Linearization of n-order Ordinary Differential Equations JO - Journal of Nonlinear Mathematical Physics SP - 341 EP - 350 VL - 3 IS - 3-4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.1996.3.3-4.12 DO - https://doi.org/10.2991/jnmp.1996.3.3-4.12 ID - BERKOVICH1996 ER -