Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. I: Formal theory

DOI10.1016/0022-247X(88)90027-3zbMath0655.34049MaRDI QIDQ1109202

Donatus Uzodinma Anyanwu

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Langer's methoduniform asymptotic solution

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Linear ordinary differential equations and systems (34A30) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (6)

Uniform asymptotic solutions of boundary and eigenvalue problems for a second-order ordinary differential equation with singular and turning points ⋮ Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. I: Formal theory ⋮ Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. II: Some expansions ⋮ Uniform approximations for the natural modes and frequencies of spindle- shaped acoustical resonators ⋮ Uniform asymptotic expansions of the solutions of Stueckelberg's system with turning points ⋮ Asymptotic (semiclassical) equivalence for Schrödinger equations with singular potentials and for related systems of two first-order equations

Cites Work

• Unnamed Item
• Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. I: Formal theory
• Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. II: Some expansions
• Uniform approximations for the natural modes and frequencies of spindle- shaped acoustical resonators
• The asymptotic solutions of an ordinary differential equation in which the coefficient of the parameter is singular
• The method of comparison equations in the solution of linear second-order differential equations (generalized W.K.B. method)
• Asymptotic Solution Of Differential Equations In a Domain Containing a Regular Singular Point
• Solution About a Singular Point of a Linear Differential Equation Involving A Large Parameter
• Langer's method for a second order linear ordinary differential equation with a double pole
• Asymptotic solution of eigenvalue problems for second-order ordinary differential equations
• Asymptotic solution of higher-order differential equations with several turning points, and application to wave propagation in slowly varying waveguides
• Uniform Asymptotic Solutions of Nonhomogeneous Differential Equations with Turning Points
• Asymptotic Solutions of Differential Equations with Transition Points or Singularities
• Uniform asymptotic solutions of second order linear ordinary differential equations with turning points
• The Asymptotic Solutions of Ordinary Linear Differential Equations of the Second Order, With Special Reference to a Turning Point

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