Geodesic
Asymptotic solution of a singularly perturbed Cauchy problem with a turning point
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 156 (2018), pp. 84-88

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Using a modified method of boundary-layer functions, we construct a complete uniform asymptotic solution to the singularly perturbed Cauchy problem for a second-order linear inhomogeneous ordinary differential equation with a multiple turning point on the real axis.
Keywords: asymptotics, boundary-layer function, Cauchy problem, bisingular problem, turning point, generalized method of boundary-layer functions, singular perturbation. 
@article{INTO_2018_156_a6,
     author = {D. A. Tursunov and K. G. Kozhobekov},
     title = {Asymptotic solution of a singularly perturbed {Cauchy} problem with a turning point},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {84--88},
     publisher = {mathdoc},
     volume = {156},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_156_a6/}
}
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D. A. Tursunov; K. G. Kozhobekov. Asymptotic solution of a singularly perturbed Cauchy problem with a turning point. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 156 (2018), pp. 84-88. http://geodesic.mathdoc.fr/item/INTO_2018_156_a6/