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Zbl 0758.39005
Wong, R.; Li, H.
Asymptotic expansions for second-order linear difference equations. (English)
[J] J. Comput. Appl. Math. 41, No.1-2, 65-94 (1992). ISSN 0377-0427

Using the method of successive approximations, asymptotic formal series solutions of the linear second-order difference equation $x\sb{n+2}+a\sb nx\sb{n+1}+b\sb nx\sb n=0$, where $a\sb n$ and $b\sb n$ have asymptotic expansions of the form $a\sb n\sim\Sigma((c\sb i/n\sp i)$; $i=0,\dots,\infty)$ and $b\sb n\sim\Sigma((d\sb i/n\sp i;i=0,\dots,\infty)$, for large values of $n$, and $d\sb 0\ne 0$, are obtained.
[H.Länger (Wien)]

MSC 2000:: *39A10 Difference equations

Keywords: method of successive approximations; asymptotic formal series solutions; linear second-order difference equation; asymptotic expansions

Cited in: Zbl 0855.39010 Zbl 0780.39005

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