# Classifications and existence of positive solutions of a higher order nonlinear difference equation

Colloquium Mathematicae (2000)

- Volume: 83, Issue: 1, page 137-153
- ISSN: 0010-1354

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topLi, Wan-Tong, and Cheng, Sui. "Classifications and existence of positive solutions of a higher order nonlinear difference equation." Colloquium Mathematicae 83.1 (2000): 137-153. <http://eudml.org/doc/210768>.

@article{Li2000,

abstract = {A classification scheme for the eventually positive solutions of a class of higher order nonlinear difference equations is given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of such solutions are provided.},

author = {Li, Wan-Tong, Cheng, Sui},

journal = {Colloquium Mathematicae},

keywords = {sublinear function; nonlinear difference equation; superlinear function; eventually positive solution; existence theorem; positive solutions; higher-order nonlinear difference equation; asymptotic},

language = {eng},

number = {1},

pages = {137-153},

title = {Classifications and existence of positive solutions of a higher order nonlinear difference equation},

url = {http://eudml.org/doc/210768},

volume = {83},

year = {2000},

}

TY - JOUR

AU - Li, Wan-Tong

AU - Cheng, Sui

TI - Classifications and existence of positive solutions of a higher order nonlinear difference equation

JO - Colloquium Mathematicae

PY - 2000

VL - 83

IS - 1

SP - 137

EP - 153

AB - A classification scheme for the eventually positive solutions of a class of higher order nonlinear difference equations is given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of such solutions are provided.

LA - eng

KW - sublinear function; nonlinear difference equation; superlinear function; eventually positive solution; existence theorem; positive solutions; higher-order nonlinear difference equation; asymptotic

UR - http://eudml.org/doc/210768

ER -

## References

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- [8] J. W. Hooker and W. T. Patula, A second order nonlinear difference equation: Oscillation and asymptotic behavior, ibid. 91 (1983), 9-29. Zbl0508.39005
- [9] B. Szmanda, Characterization of oscillation of second order nonlinear difference equations, Bull. Polish Acad. Sci. Math. 34 (1986), 133-141. Zbl0598.39004
- [10] X. B. Wu, Some notes on ``Oscillatory and asymptotic behavior of second order nonlinear difference equations'', J. Math. Anal. Appl. 189 (1995), 310-312. Zbl0816.39001
- [11] A. Zafer and R. S. Dahiya, Oscillation of a neutral difference equation, Appl. Math. Lett. 6 (1993), 71-74. Zbl0772.39001
- [12] X. L. Zhou and J. R. Yan, Oscillation property of higher order difference equations, Comput. Math. Appl. 31 (1996), no. 12, 61-68. Zbl0855.39016
- [13] X. L. Zhou and J. R. Yan, Oscillation of higher order difference equations, Chinese Ann. Math. 15A (1994), 692-700. Zbl0815.39004

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