J. Nonl. Mod. Anal., 3 (2021), pp. 495-504.
Published online: 2022-06
[An open-access article; the PDF is free to any online user.]
Cited by
- BibTex
- RIS
- TXT
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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2021.495}, url = {http://global-sci.org/intro/article_detail/jnma/20680.html} }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.