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Zbl 0896.39007
Cheng, Sui Sun; Zhang, Guang
Monotone solutions of a higher-order neutral difference equation. (English)
[J] Georgian Math. J. 5, No.1, 49-54 (1998). ISSN 1072-947X; ISSN 1572-9176/e

The authors establish conditions for the existence of $(*)$-monotone solutions for the neutral difference equation $$\Delta^m (y_n- p_ny_{n-\sigma})+ q_n f(y_{n-\sigma})=0, \qquad n=0,1,2,\dots$$ where $m$ is a positive odd integer, $\sigma$ is a positive integer, $\{p_n\}$ and $\{q_n\}$ are nonnegative sequences and $f$ is a real function defined on $\bbfR$ such that $f$ is positive nondecreasing for $x>0$.
[E.Thandapani (Salem)]

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

Keywords: monotone solutions; neutral difference equation

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