# The oscillation of an $m$th order perturbed nonlinear difference equation

Patricia J. Y. Wong; Ravi P. Agarwal

Archivum Mathematicum (1996)

- Volume: 032, Issue: 1, page 13-27
- ISSN: 0044-8753

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topWong, Patricia J. Y., and Agarwal, Ravi P.. "The oscillation of an $m$th order perturbed nonlinear difference equation." Archivum Mathematicum 032.1 (1996): 13-27. <http://eudml.org/doc/247854>.

@article{Wong1996,

abstract = {We offer sufficient conditions for the oscillation of all solutions of the perturbed difference equation \[|\Delta ^\{m\} y(k)|^\{\alpha -1\}\Delta ^\{m\} y(k)+Q(k,y(k-\sigma \_\{k\}), \Delta y(k-\sigma \_\{k\}),\cdots , \Delta ^\{m-2\}y(k-\sigma \_\{k\}))\]$=P(k,y(k-\sigma _\{k\}),\Delta y(k-\sigma _\{k\}),\cdots , \Delta ^\{m-1\}y(k-\sigma _\{k\})),~k\ge k_\{0\}$ where $\alpha >0.$ Examples which dwell upon the importance of our results are also included.},

author = {Wong, Patricia J. Y., Agarwal, Ravi P.},

journal = {Archivum Mathematicum},

keywords = {oscillatory solutions; difference equations; oscillatory solutions; difference equations},

language = {eng},

number = {1},

pages = {13-27},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {The oscillation of an $m$th order perturbed nonlinear difference equation},

url = {http://eudml.org/doc/247854},

volume = {032},

year = {1996},

}

TY - JOUR

AU - Wong, Patricia J. Y.

AU - Agarwal, Ravi P.

TI - The oscillation of an $m$th order perturbed nonlinear difference equation

JO - Archivum Mathematicum

PY - 1996

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 032

IS - 1

SP - 13

EP - 27

AB - We offer sufficient conditions for the oscillation of all solutions of the perturbed difference equation \[|\Delta ^{m} y(k)|^{\alpha -1}\Delta ^{m} y(k)+Q(k,y(k-\sigma _{k}), \Delta y(k-\sigma _{k}),\cdots , \Delta ^{m-2}y(k-\sigma _{k}))\]$=P(k,y(k-\sigma _{k}),\Delta y(k-\sigma _{k}),\cdots , \Delta ^{m-1}y(k-\sigma _{k})),~k\ge k_{0}$ where $\alpha >0.$ Examples which dwell upon the importance of our results are also included.

LA - eng

KW - oscillatory solutions; difference equations; oscillatory solutions; difference equations

UR - http://eudml.org/doc/247854

ER -

## References

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