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KIAM Preprint № 54, Moscow, 2011
Authors: Bruno A. D.
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
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Bruno Alexander Dmitrievich, RAS