WKB (Liouville-Green) analysis of second order difference equations and applications

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Abstract

A discrete analog of the WKB or Liouville-Green approximation for the solution of second order differential equations is discussed. The method is then applied to obtain asymptotic solutions to second order difference equations whose coefficients are regularly varying.

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Supported in part by NSF Grant DMS-8620079.

A portion of the research of this author was supported by teaching and research assistantships from the School of Mathematics, Georgia Institute of Technology, and constitutes a part of his doctoral dissertation research.