On a modification of Olver's method: a special case

DOI10.1007/S00365-015-9298-YzbMath1339.34064arXiv1406.1613OpenAlexW1116862007MaRDI QIDQ272906

Chelo Ferreira, Ester Pérez Sinusía, José Luis López

Publication date: 21 April 2016

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1613

zbMATH Keywords

Green's functionssecond-order differential equationsasymptotic expansionsBanach's fixed point theorem

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Green's functions for ordinary differential equations (34B27) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Asymptotic expansions of solutions to ordinary differential equations (34E05) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (1)

ASYMPTOTIC AND CONVERGENT EXPANSIONS FOR SOLUTIONS OF THIRD-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH A LARGE PARAMETER

Uses Software

• DLMF

Cites Work

• Olver's asymptotic method revisited; case I
• The Liouville–Neumann expansion at a regular singular point
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