Geodesic
Asymptotic solution of the Neumann problem with an irregular singular point
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations, geometry, and topology, Tome 201 (2021), pp. 98-102

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Using the generalized method of boundary-layer functions, we construct a complete uniform asymptotic expansion of the solution of a singularly perturbed Neumann problem for a second order, linear, inhomogeneous ordinary differential equation in the case where the corresponding unperturbed equation has an irregular singular point on the boundary of the segment.
Keywords: Neumann problem, asymptotic solution, boundary-layer function, bisingular problem, irregular singular point, generalized method of boundary-layer functions
Mots-clés : singular perturbation. 
@article{INTO_2021_201_a7,
     author = {D. A. Tursunov and K. G. Kozhobekov},
     title = {Asymptotic solution of the {Neumann} problem with an irregular singular point},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {98--102},
     publisher = {mathdoc},
     volume = {201},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_201_a7/}
}
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D. A. Tursunov; K. G. Kozhobekov. Asymptotic solution of the Neumann problem with an irregular singular point. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations, geometry, and topology, Tome 201 (2021), pp. 98-102. http://geodesic.mathdoc.fr/item/INTO_2021_201_a7/