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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2017 Volume 14, Pages 10–21 (Mi semr757)

This article is cited in 8 papers

Differentical equations, dynamical systems and optimal control

The asymptotic solution of the bisingular Robin problem

D. A. Tursunov

Osh State University, Faculty of mathematics and information technology, Department of Informatics, st. Lenin, 331, 723500, Osh, Kyrgyzstan

Abstract: The modified method of boundary functions constructed full, uniform asymptotic expansion of the solution bisingular Robin problem for a second order ordinary differential equations with turning points in the real axis. Constructed uniform asymptotic expansion of the solution of the Robin problem justified by the principle of maximum.

Keywords: asymptotic expansion, bisingularly problem, Robin problem, small parameter, boundary function.

UDC: 517.928.2

MSC: 34E20

Received October 10, 2016, published January 16, 2017

DOI: 10.17377/semi.2017.14.002



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