Year: 2021
Author: George E. Chatzarakis, Said R. Grace
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 4 : pp. 495–504
Abstract
The purpose of this paper is to establish some new criteria for the oscillation of the second-order nonlinear noncanonical difference equations of the form $$∆ (a (n) ∆x (n)) + q(n)x^β (g(n)) = 0, n ≥ n_0$$ under the assumption $$\sum\limits^∞_{s=n} \frac{1}{a(s)}< ∞.$$ Corresponding difference equations of both retarded and advanced type are studied. A particular example of Euler type equation is provided in order to illustrate the significance of our main results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.495
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 4 : pp. 495–504
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Nonlinear difference equation Retarded Advanced Noncanonical Oscillation.