Series coefficients in asymptotic expansions of solutions to equations with degenerations

D.S. Kats


The article considers ordinary differential equations with holomorphic coefficients. Solutions are found to equations with constant coefficients of degenerating operator. This paper also deals with equations with holomorphic coefficients of degenerating operator, principal symbols of which have only simple roots: for such cases coefficients of solutions’ asymptotic series are computed. For both cases article shows, that the number of arbitrary constants contained in equation’s solution coincides with the order of the equation.

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