Lev BERKOVICH
Department of Algebra and Geometry of Mathematical Division,
Samara State University,
1 Academician Pavlov Str.,
PO 443011, Samara,
RUSSIA
E-mail: berk@ssu.samara.ru

Operator Identities for Linear and Nonlinear Ordinary Differential Equations

Abstract:
We have constructed operator identities for linear and nonlinear ordinary differential operators. They are generated by  transformations of Kummer-Liouville, Euler-Imshenetsky-Darboux and Backlund also are applied as for construction, and for  Integrations of the linear and nonlinear differential equations.