Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments

Srinivasan Selvarangam; Sethurajan A. Rupadevi; Ethiraju Thandapani; Sandra Pinelas

Mathematica Bohemica (2021)

  • Volume: 146, Issue: 3, page 263-278
  • ISSN: 0862-7959

Abstract

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In this paper, we present several sufficient conditions for the existence of nonoscillatory solutions to the following third order neutral type difference equation Δ 3 ( x n + a n x n - l + b n x n + m ) + p n x n - k - q n x n + r = 0 , n ≥ n 0 via Banach contraction principle. Examples are provided to illustrate the main results. The results obtained in this paper extend and complement some of the existing results.

How to cite

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Selvarangam, Srinivasan, et al. "Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments." Mathematica Bohemica 146.3 (2021): 263-278. <http://eudml.org/doc/297989>.

@article{Selvarangam2021,
abstract = {In this paper, we present several sufficient conditions for the existence of nonoscillatory solutions to the following third order neutral type difference equation \[ \Delta ^3(x\_n+a\_n x\_\{n-l\} +b\_n x\_\{n+m\})+p\_n x\_\{n-k\} - q\_n x\_\{n+r\}=0,\quad n\ge n\_0 \] via Banach contraction principle. Examples are provided to illustrate the main results. The results obtained in this paper extend and complement some of the existing results.},
author = {Selvarangam, Srinivasan, Rupadevi, Sethurajan A., Thandapani, Ethiraju, Pinelas, Sandra},
journal = {Mathematica Bohemica},
keywords = {third order; nonoscillation; delay and advanced arguments; neutral difference equation},
language = {eng},
number = {3},
pages = {263-278},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments},
url = {http://eudml.org/doc/297989},
volume = {146},
year = {2021},
}

TY - JOUR
AU - Selvarangam, Srinivasan
AU - Rupadevi, Sethurajan A.
AU - Thandapani, Ethiraju
AU - Pinelas, Sandra
TI - Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments
JO - Mathematica Bohemica
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 146
IS - 3
SP - 263
EP - 278
AB - In this paper, we present several sufficient conditions for the existence of nonoscillatory solutions to the following third order neutral type difference equation \[ \Delta ^3(x_n+a_n x_{n-l} +b_n x_{n+m})+p_n x_{n-k} - q_n x_{n+r}=0,\quad n\ge n_0 \] via Banach contraction principle. Examples are provided to illustrate the main results. The results obtained in this paper extend and complement some of the existing results.
LA - eng
KW - third order; nonoscillation; delay and advanced arguments; neutral difference equation
UR - http://eudml.org/doc/297989
ER -

References

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