Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
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

Highlights
Master Server