Geodesic
Asymptotic expansion for a solution of an ordinary second-order differential equation with three turning points
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 1, pp. 271-281

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Using the generalized method of boundary functions, we construct a uniform asymptotic expansion of the solution of the Dirichlet problem for a singularly perturbed linear inhomogeneous ordinary second-order differential equation with three turning points on the real axis. The constructed asymptotic series is a Puiseux series.
Keywords: asymptotic expansion, turning point, ordinary second-order differential equation, Airy equation, modified Bessel functions, Dirichlet problem, generalized boundary function, small parameter.
Mots-clés : singular (bisingular) perturbation 
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D. A. Tursunov. Asymptotic expansion for a solution of an ordinary second-order differential equation with three turning points. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 1, pp. 271-281. http://geodesic.mathdoc.fr/item/TIMM_2016_22_1_a26/