Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation

Guang Zhang; Sui Cheng

Applicationes Mathematicae (1999)

  • Volume: 25, Issue: 4, page 393-399
  • ISSN: 1233-7234

Abstract

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A nonlinear difference equation involving the maximum function is studied. We derive sufficient conditions in order that eventually positive or eventually negative solutions tend to zero or to positive or negative infinity.

How to cite

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Zhang, Guang, and Cheng, Sui. "Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation." Applicationes Mathematicae 25.4 (1999): 393-399. <http://eudml.org/doc/219213>.

@article{Zhang1999,
abstract = {A nonlinear difference equation involving the maximum function is studied. We derive sufficient conditions in order that eventually positive or eventually negative solutions tend to zero or to positive or negative infinity.},
author = {Zhang, Guang, Cheng, Sui},
journal = {Applicationes Mathematicae},
keywords = {difference equation; eventually positive solution; asymptotic dichotomy; nonoscillatory solutions; positive solutions; negative solutions; nonlinear difference equation},
language = {eng},
number = {4},
pages = {393-399},
title = {Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation},
url = {http://eudml.org/doc/219213},
volume = {25},
year = {1999},
}

TY - JOUR
AU - Zhang, Guang
AU - Cheng, Sui
TI - Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation
JO - Applicationes Mathematicae
PY - 1999
VL - 25
IS - 4
SP - 393
EP - 399
AB - A nonlinear difference equation involving the maximum function is studied. We derive sufficient conditions in order that eventually positive or eventually negative solutions tend to zero or to positive or negative infinity.
LA - eng
KW - difference equation; eventually positive solution; asymptotic dichotomy; nonoscillatory solutions; positive solutions; negative solutions; nonlinear difference equation
UR - http://eudml.org/doc/219213
ER -

References

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  1. [1] S. S. Cheng and B. G. Zhang, Monotone solutions of a class of nonlinear difference equations, Comput. Math. Appl. 28 (1994), 71-79. Zbl0805.39005
  2. [2] V. L. Kocic and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Math. Appl. 256, Kluwer, 1993. Zbl0787.39001
  3. [3] H. J. Li and S. S. Cheng, Asymptotically monotone solutions of a nonlinear difference equation, Tamkang J. Math. 24 (1993), 269-282. Zbl0787.39005
  4. [4] B. Liu and S. S. Cheng, Positive solutions of second order nonlinear difference equations, J. Math. Anal. Appl. 204 (1996), 482-493. Zbl0872.39004
  5. [5] B. G. Zhang and S. S. Cheng, Oscillation criteria and comparison theorems for delay difference equations, Fasc. Math. 25 (1995), 13-32. Zbl0830.39005

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