Geodesic
Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments
Mathematica Bohemica, Tome 146 (2021) no. 3, pp. 263-278.

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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 $$ \Delta ^3(x_n+a_n x_{n-l} +b_n x_{n+m})+p_n x_{n-k} - q_n x_{n+r}=0,\quad n\geq n_0 $$ 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.
DOI : 10.21136/MB.2020.0099-19
Classification : 39A10
Keywords: third order; nonoscillation; delay and advanced arguments; neutral difference equation 
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Selvarangam, Srinivasan; Rupadevi, Sethurajan A.; Thandapani, Ethiraju; Pinelas, Sandra. Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments. Mathematica Bohemica, Tome 146 (2021) no. 3, pp. 263-278. doi : 10.21136/MB.2020.0099-19. http://geodesic.mathdoc.fr/articles/10.21136/MB.2020.0099-19/

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