Local and Nonlocal Symmetries and Inverse Problems for Ordinary Differential Equations

摘要

Some recent results and perspectives for development of contemporary group analysis for ordinary differential equations are considered. The article deals with regular algorithms of searching for the higher symmetries (tangential, Lie-Backlund and nonlocal - exponential and non-exponential). The solution for an inverse problem in class of equations admitting some non-exponential nonlocal operator is given.