Second-Order Equations with Turning Points

Mikhail V. Fedoryuk and Andrew Rodick

Chapter Chapter 4 in Asymptotic Analysis, 1993, pp 168-226 from Springer

Abstract: Abstract In this chapter we consider equations of the form $$y'' + \lambda ^2 q(x,\lambda ^{ - 1} )y = 0,\lambda\to \infty ,$$ which have turning points. We derive asymptotic formulae for the solutions that are applicable in a real or complex neighbourhood of a turning point.

Keywords: Asymptotic Behaviour; Asymptotic Expansion; Turning Point; Asymptotic Formula; Fundamental Matrix (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-58016-1_4

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DOI: 10.1007/978-3-642-58016-1_4

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