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

Author

Srinivasan Selvarangam, Sethurajan A. Rupadevi, Ethiraju Thandapani, and Sandra Pinelas

Subjects
third order, nonoscillation, delay and advanced arguments, neutral difference equation, Mathematics, QA1-939
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\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.

Published
2021
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2. Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments

Author

Sandra Pinelas, Srinivasan Selvarangam, Ethiraju Thandapani, and Sethurajan A. Rupadevi

Subjects
Third order, nonoscillation, delay and advanced arguments, neutral difference equation, QA1-939, Applied mathematics, Type (model theory), third order, Mathematics
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\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.

Published
2021

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