# Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation

Applicationes Mathematicae (1999)

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

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topZhang, 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

top- [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] 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] 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] 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] 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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