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Zbl 0589.39002
Cheng, Sui-Sun
Sturmian comparison theorems for three-term recurrence equations. (English)
[J] J. Math. Anal. Appl. 111, 465-474 (1985). ISSN 0022-247X

The author considers a discrete analogue of an ordinary, regular, self- adjoint second-order differential equation. For these homogeneous difference equations (or recurrences) with homogeneous discrete boundary conditions of Sturm-Liouville type, several comparison theorems concerning the existence and inclusion of nodes of the corresponding non- trivial solutions are derived. The concept of nodes used here is based on the zeros of a linear spline, interpolating the components of a vector.
[G.Meinardus]

MSC 2000:: *39A10 Difference equations
39A12 Discrete version of topics in analysis

Keywords: recurrences; boundary conditions of Sturm-Liouville type; comparison theorems; existence; inclusion

Cited in: Zbl 1117.39014 Zbl 0830.39005

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