global-journal-of-science-frontier-research-f-mathematics-decision Global Journal of Science Frontier Research - F: Mathematics & Decision 0975-5896 2249-4626 Global Journals Publishing Group Incorporated 115764 Asymptotic Solutions of Second Order Equations with Holomorphic Coefficients with Degeneracies and Laplaces Equations on a Manifold with a Cuspidal Singularity M.V.Korovina RUSSIA, Moscow state Universiti 30 10 2017 17 F6

In this paper, we construct the asymptotics for second order linear differential equations with higher-order singularity for the case where the principle symbol has multiple roots. In addition, we solve the problem of constructing asymptotic solutions of Laplace’s equation on a manifold with a second order cuspidal singularity.

 differential equations with cuspidal singularitus laplas-borel transformation resurgent function laplace’s equation. Full Text

In this paper, we construct the asymptotics for second order linear differential equations with higher-order singularity for the case where the principle symbol has multiple roots. In addition, we solve the problem of constructing asymptotic solutions of Laplace’s equation on a manifold with a second order cuspidal singularity.