Geodesic
Asymptotic solving linear bisingular problems with additional boundary layer
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2018), pp. 70-78

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We study two bisingular Dirichlet problem with the additional boundary layer: 1) for the second order linear elliptic equation in a ring, 2) for linear ordinary differential equations of second order in a segment. We construct asymptotic solutions of the three-zone, bisingular Dirichlet by using the generalized method of boundary functions and obtain estimates for the residual functions.
Keywords: asymptotic solution, the Dirichlet problem, boundary functions, small parameter, bisingularly problem, three-zone problem, intermediate boundary layer, additional boundary layer. 
@article{IVM_2018_3_a7,
     author = {D. A. Tursunov},
     title = {Asymptotic solving linear bisingular problems with additional boundary layer},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {70--78},
     publisher = {mathdoc},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_3_a7/}
}
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D. A. Tursunov. Asymptotic solving linear bisingular problems with additional boundary layer. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2018), pp. 70-78. http://geodesic.mathdoc.fr/item/IVM_2018_3_a7/