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Title: | A Method for Constructing Asymptotic Expansions of Bisingularly Perturbed Problems |
Authors: | Alymkulov, K. Tursunov, D. A. |
Issue Date: | 2016 |
Publisher: | PU SPRINGER INTERNATIONAL PUBLISHING AG |
Abstract: | In this paper we propose an analog of the method of boundary functions for constructing uniform asymptotic expansions of solutions to bisingularly perturbed problems. With the help of this method we construct uniform asymptotic expansions of solutions to the Dirichlet problem for bisingularly perturbed ordinary differential equations and elliptic equations of the second order. By the use of the maximum principle we obtain estimates for the remainder terms. |
Keywords: | ASYMPTOTIC EXPANSION DIRICHLET PROBLEM AIRY FUNCTION BOUNDARY FUNCTION BOUNDARY FUNCTION-METHOD |
URI: | http://elar.uspu.ru/handle/uspu/6687 |
DOI: | 10.3103/S1066369X1612001X |
Appears in Collections: | Научные публикации, проиндексированные в Scopus и Web of Science |
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