The asymptotic solution of the three-band bisingularly problem

DOI10.1134/S1995080217030258zbMath1383.34078OpenAlexW2617333872MaRDI QIDQ2399806

Dilmurat Aabdullazhanovich Tursunov

Publication date: 24 August 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217030258

zbMATH Keywords

Dirichlet problemsingular perturbationasymptotic expansionsmall parameterordinary differential equationboundary layer functionintermediate boundary layerbisingularly perturbed problemmany band problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

Asymptotics of the solution to the boundary-value problem when the limit equation has an irregular singular point ⋮ Asymptotics of the solution to the boundary-value problems with non smooth coefficient ⋮ ASYMPTOTICS OF THE SOLUTION TO A TWO-BAND TWO-POINT BOUNDARY VALUE PROBLEM

Cites Work

• Singular perturbation theory. Mathematical and analytical techniques with applications to engineering. With a foreword by Alan Jeffrey
• Perturbation methods in applied mathematics
• A boundary function method for solving the model Lighthill equation with a regular singular point
• A method for constructing asymptotic expansions of bisingularly perturbed problems
• Generalization of the boundary function method for solving boundary-value problems for bisingularly perturbed second-order differential equations
• ASYMPTOTICS OF THE SOLUTION TO THE BISINGULAR PERTURBED DIRICHLET PROBLEM IN THE RING WITH QUADRATIC GROWTH ON THE BOUNDARY
• Asymptotic expansions of solutions to Dirichlet problem for elliptic equation with singularities
• Asymptotics of the Dirichlet problem solution for a bisingular perturbed equation in the ring
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