n th-Order Equations and Systems

Mikhail V. Fedoryuk

Chapter Chapter 5 in Asymptotic Analysis, 1993, pp 227-351 from Springer

Abstract: Abstract In this chapter scalar equations $$y^{(n)}+ \lambda q_1 (x,\lambda ^{ - 1} )y^{(n - 1)}+\ldots+ \lambda ^n q_n (x)y = 0$$ and systems $$y' = \lambda A(x,\lambda ^{ - 1} )y,\lambda\to \infty $$ are considered. Asymptotic formulae are given for solutions on a finite interval, on a half-line and in the complex plane of x.

Keywords: Asymptotic Expansion; Asymptotic Formula; Fundamental Matrix; Remainder Term; Left Eigenvector (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1007/978-3-642-58016-1_5

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