The oscillation of an $m$th order perturbed nonlinear difference equation
Wong, Patricia J. Y. ; Agarwal, Ravi P.
Archivum Mathematicum, Tome 032 (1996), p. 13-27 / Harvested from Czech Digital Mathematics Library
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We offer sufficient conditions for the oscillation of all solutions of the perturbed difference equation $$|\Delta^{m} y(k)|^{\alpha-1}\Delta^{m} y(k)+Q(k,y(k-\sigma_{k}), \Delta y(k-\sigma_{k}),\cdots, \Delta^{m-2}y(k-\sigma_{k}))$$ \hfill $=P(k,y(k-\sigma_{k}),\Delta y(k-\sigma_{k}),\cdots, \Delta^{m-1}y(k-\sigma_{k})),~k\geq k_{0}$ where $\alpha>0.$ Examples which dwell upon the importance of our results are also included.

Publié le : 1996-01-01
Classification:  39A10 
@article{107559,
     author = {Patricia J. Y. Wong and Ravi P. Agarwal},
     title = {The oscillation of an $m$th order perturbed nonlinear difference equation},
     journal = {Archivum Mathematicum},
     volume = {032},
     year = {1996},
     pages = {13-27},
     zbl = {0870.39001},
     mrnumber = {1399838},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107559}
}

Wong, Patricia J. Y.; Agarwal, Ravi P. The oscillation of an $m$th order perturbed nonlinear difference equation. Archivum Mathematicum, Tome 032 (1996) pp. 13-27. http://gdmltest.u-ga.fr/item/107559/

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