ASYMPTOTICS OF THE SOLUTION TO THE BISINGULAR PERTURBED DIRICHLET PROBLEM IN THE RING WITH QUADRATIC GROWTH ON THE BOUNDARY

DOI10.14529/mmph160207zbMath1341.35035OpenAlexW2469072804MaRDI QIDQ2810343

Ulukbek Zairbekovich Erkebaev, Dilmurat Aabdullazhanovich Tursunov

Publication date: 1 June 2016

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14529/mmph160207

zbMATH Keywords

small parametermodified Bessel functionselliptic equationasymptotic expansion of a solutionbisingular perturbationDirichlet problem in the ringgeneralized method of boundary functions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Perturbations in context of PDEs (35B20)

Related Items (4)

CONSTRUCTION OF AN ANALOG OF THE FREDHOLM THEOREM FOR A CLASS OF MODEL FIRST ORDER INTEGRO-DIFFERENTIAL EQUATIONS WITH A SINGULAR POINT IN THE KERNEL ⋮ Asymptotic solution of linear bisingular problems with additional boundary layer ⋮ The asymptotic solution of the three-band bisingularly problem ⋮ Asymptotic Solution of the Perturbed First Boundary Value Problem with a Non-Smooth Coefficient

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• On asymptotic approximations of solutions of an equation with a small parameter
• Real zeros of Hurwitz-Lerch zeta functions in the interval \((-1,0)\)

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