Power-exponential expansions of solutions to an ODE
We consider an ordinary differential equation of a very general form. For it, we introduce the notion of a power-exponential expansion of its solutions and give a method of calculation of the expansion. We show that the second Painlev'e equation has not got such expansion of solution, but the fourth Painlev'e equation has them.
Publication language:russian, pages:11
Mathematical problems and theory of numerical methods