WKBJ-type approximation for finite moments perturbations of the differential equation \(y\)=\(0\) and the analogous difference equation

DOI10.1016/0022-247X(92)90089-VzbMath0757.34045OpenAlexW2031902700WikidataQ115364496 ScholiaQ115364496MaRDI QIDQ1812975

Renato Spigler, Marco Vianello

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90089-v

zbMATH Keywords

error analysisWKB approximationlinear difference equationsLiouville-Green approximationVolterra-Stieltjes integral equationdominant and recessive solutionsLiouville- Neumann expansions

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (9)

Generalized finite moments and Liouville-Green approximations ⋮ Canonical forms and discrete Liouville-Green asymptotics for second-order linear difference equations ⋮ Error bounds for asymptotic solutions of second-order linear difference equations. II: The first case ⋮ Asymptotic approximations for second-order linear difference equations in Banach algebras. I ⋮ Asyptotics for linear difference equations I:basic theory ⋮ Monotone Jacobi parameters and non-Szegő weights ⋮ Riccati techniques and approximation for a second-order Poincaré difference equation ⋮ Liouville-Green-Olver approximations for complex difference equations ⋮ A problem on Hartman and Wintner: approximation for discrete perturbations

Cites Work

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• Sublinear perturbations of the differential equation \(y^{(n)}=0\) and of the analogous difference equation
• Theory of difference equations: Numerical methods and applications
• Orthogonal polynomials and measures with finitely many point masses
• Discrete and continuous boundary problems
• A Numerical Method for Evaluating Zeros of Solutions of Second-Order Linear Differential Equations
• Non-Oscillation Theorems

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