A method for constructing asymptotic expansions of bisingularly perturbed problems
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Publication:2363388
DOI10.3103/S1066369X1612001XzbMath1376.34054MaRDI QIDQ2363388
K. Alymkulov, Dilmurat Aabdullazhanovich Tursunov
Publication date: 19 July 2017
Published in: Russian Mathematics (Search for Journal in Brave)
Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05)
Related Items (8)
Asymptotic solution of linear bisingular problems with additional boundary layer ⋮ The asymptotic solution of the three-band bisingularly problem ⋮ Asymptotic solution of a singularly perturbed Cauchy problem with a turning point ⋮ Asymptotics of the solution to the boundary-value problem when the limit equation has an irregular singular point ⋮ Asymptotics of the solution to the Robin problem for a ring with regularly singular boundary ⋮ Asymptotics of the solution to the boundary-value problems when limited equation has singular point ⋮ The asymptotics of solutions of a singularly perturbed equation with a of fractional turning point ⋮ The asymptotic solution of the bisingular Robin problem
Cites Work
- An unstable differential turning point in the theory of singular perturbations
- Uniform asymptotics of a solution of a nonhomogeneous system of two differential equations with a turning point
- A boundary function method for solving the model Lighthill equation with a regular singular point
- Generalization of the boundary function method for solving boundary-value problems for bisingularly perturbed second-order differential equations
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