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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 (2021)

Mathematica Bohemica

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.

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