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Zbl 1161.39004
Berezansky, Leonid; Braverman, Elena; Kravets, Oksana
Nonoscillation of linear delay difference equations with positive and negative coefficients. (English)
[J] J. Difference Equ. Appl. 14, No. 5, 495-511 (2008). ISSN 1023-6198

The authors establish sufficient conditions for the existence of nonoscillatory solutions and the positiveness of the fundamental solution for a linear delay difference equation with positive and negative coefficients. They also present some open problems.
[Shangjiang Guo (Hunan)]
MSC 2000:
*39A11 Stability of difference equations
39A12 Discrete version of topics in analysis
34K11 Oscillation theory of functional-differential equations

Keywords: linear delay difference equation; nonoscillation; comparison theorems; positive and negative coefficients; positive fundamental solution

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