Title: | Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations (English) |

Author: | Thandapani, E. |

Author: | Arul, R. |

Language: | English |

Journal: | Czechoslovak Mathematical Journal |

ISSN: | 0011-4642 (print) |

ISSN: | 1572-9141 (online) |

Volume: | 49 |

Issue: | 1 |

Year: | 1999 |

Pages: | 149-161 |

Summary lang: | English |

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Category: | math |

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Summary: | The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form \[ \Delta (a_n \Delta ^{m-1} y_n) + p_n \Delta ^{m-1} y_n + q_n f(y_{\sigma (n+m-1)}) = 0 \] where $m$ is even, is studied. Examples are included to illustrate the results. (English) |

Keyword: | higher order difference equation |

Keyword: | oscillation |

MSC: | 39A11 |

MSC: | 39A12 |

idZBL: | Zbl 0954.39002 |

idMR: | MR1676817 |

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Date available: | 2009-09-24T10:20:58Z |

Last updated: | 2020-07-03 |

Stable URL: | http://hdl.handle.net/10338.dmlcz/127475 |

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Reference: | [12] E. Thandapani, P. Sundaram and B.S. Lalli: Oscillation theorems for higher order nonlinear delay difference equations.Computers Math. Applic. 32 (1996), 111–117. MR 1398552, 10.1016/0898-1221(96)00116-2 |

Reference: | [13] E. Thandapani, P. Sundaram, J.R. Graef, A. Miciano and P.W. Spikes: Classification of nonoscillatory solutions of higher order neutral type difference equations.Arch. Math. (Brno) 31 (1995), 263–277. MR 1390585 |

Reference: | [14] E. Thandapani and P. Sundaram: Oscillation theorems for some even order nonlinear difference equations.J. Nonlinear Diff. Eqn. 4 (1996) (to appear). |

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Reference: | [16] P.J.Y. Wong and R.P. Agarwal: The oscillation of an $m$-th order perturbed nonlinear difference equation.Arch. Math. (Brno) 32 (1996), 13–27. MR 1399838 |

Reference: | [17] A. Zafer: On the existence of positive solutions and the oscillation of solutions of higher order difference equations with forcing terms.Preprint. MR 1666123 |

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