Existence of nonoscillatory solutions of a class of nonlinear difference equations with a forced term

Bing Gen Zhang; Y. J. Sun

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 3, page 639-647
  • ISSN: 0862-7959

Abstract

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In this paper, necessary and sufficient conditions for the existence of nonoscillatory solutions of the forced nonlinear difference equation Δ ( x n - p n x τ ( n ) ) + f ( n , x σ ( n ) ) = q n are obtained. Examples are included to illustrate the results.

How to cite

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Zhang, Bing Gen, and Sun, Y. J.. "Existence of nonoscillatory solutions of a class of nonlinear difference equations with a forced term." Mathematica Bohemica 126.3 (2001): 639-647. <http://eudml.org/doc/248883>.

@article{Zhang2001,
abstract = {In this paper, necessary and sufficient conditions for the existence of nonoscillatory solutions of the forced nonlinear difference equation \[ \Delta (x\_\{n\}-p\_\{n\} x\_\{\tau (n)\})+f(n,x\_\{\sigma (n)\})=q\_\{n\} \] are obtained. Examples are included to illustrate the results.},
author = {Zhang, Bing Gen, Sun, Y. J.},
journal = {Mathematica Bohemica},
keywords = {difference equations; nonlinear; forced term; nonoscillation; nonoscillatory solutions; forced nonlinear difference equation},
language = {eng},
number = {3},
pages = {639-647},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence of nonoscillatory solutions of a class of nonlinear difference equations with a forced term},
url = {http://eudml.org/doc/248883},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Zhang, Bing Gen
AU - Sun, Y. J.
TI - Existence of nonoscillatory solutions of a class of nonlinear difference equations with a forced term
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 3
SP - 639
EP - 647
AB - In this paper, necessary and sufficient conditions for the existence of nonoscillatory solutions of the forced nonlinear difference equation \[ \Delta (x_{n}-p_{n} x_{\tau (n)})+f(n,x_{\sigma (n)})=q_{n} \] are obtained. Examples are included to illustrate the results.
LA - eng
KW - difference equations; nonlinear; forced term; nonoscillation; nonoscillatory solutions; forced nonlinear difference equation
UR - http://eudml.org/doc/248883
ER -

References

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  10. 10.1016/0022-247X(91)90278-8, J. Math. Anal. Appl. 158 (1991), 213–233. (1991) MR1113411DOI10.1016/0022-247X(91)90278-8
  11. 10.1080/10236199608808052, J. Differ. Equations Appl. 2 (1996), 175–183. (1996) MR1384567DOI10.1080/10236199608808052
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  13. The existence of nonoscillatory and oscillatory solutions of neutral difference equations, Dynam. Systems Appl. 6 (1997), 411–428. (1997) MR1470829

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