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References (16)
-
E Thandapani, Z Liu, R Arul, PS Raja (2004)
Oscillation and asymptotic behavior of second order difference equations with nonlinear neutral termApplied Mathematics E-Notes, 4
-
C. Dharuman, E. Thandapani (2018)
Oscillation of Solutions of Nonlinear Difference Equation With a Super-linear Neutral TermNonautonomous Dynamical Systems, 5
-
I. Györi, G. Ladas (1992)
Oscillation Theory of Delay Differential Equations: With Applications -
(2000)
Difference Equations and Inequalities, 2nd ed -
Zhenguo Zhang, Jianfeng Chen, Caishun Zhang (2001)
Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral termComputers & Mathematics With Applications, 41
-
M. Bohner, A. El-Morshedy, R. Grace, Ilgin Sager (2019)
Oscillation of second-order nonlinear difference equations with sublinear neutral termMathematica Moravica
-
X. Tang (2000)
Oscillation for nonlinear delay difference equationsTamkang Journal of Mathematics, 32
-
R. Agarwal, M. Bohner, S. Grace, D. O’Regan (2005)
Discrete Oscillation Theory -
B. Kamaraj, R. Vasuki (2017)
Oscillation of Second Order Difference Equation with a Superlinear Neutral Term, 23
-
R. Agarwal, M. Bohner, Tongxing Li, Chenghui Zhang (2014)
Oscillation of second-order differential equations with a sublinear neutral term -
RP Agarwal (2000)
10.1201/9781420027020Difference Equations and Inequalities
-
Jianzhou Liu, Yunqing Huang, A. Liao (2006)
Some inequalities for eigenvalues of Schur complements of Hermitian matricesJournal of Computational and Applied Mathematics, 196
-
G Ayyappan, G Nithyakala (2019)
Oscillation of second order nonlinear difference equations with superlinear neutral termMalaya Journal of Matematik, 7
-
G Zhang, Y Geo (1999)
Positive solution of higher order nonlinear difference equationsJournal of Systems Science and Mathematical Sciences, 19
-
Mehar Banu, S. Nalini (2018)
Oscillation of second order difference equation with several super-linear neutral termsAdvances in Difference Equations, 2018
-
M. Yildiz, H. Öğünmez (2014)
Oscillation results of higher order nonlinear neutral delay difference equations with a nonlinear neutral termHacettepe Journal of Mathematics and Statistics, 43
- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to The Forum D’Analystes 2022
- ISSN
- 0971-3611
- eISSN
- 2367-2501
- DOI
- 10.1007/s41478-022-00413-1
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, the authors establish some new oscillation criteria for the second order nonlinear difference equation with advanced superlinear neutral term. The oscillation results are obtained via only one condition. Further the results improve and simplify some known results reported in the literature. Examples are provided to illustrate the main results.
Journal
The Journal of Analysis – Springer Journals
Published: Dec 1, 2022
Keywords: Oscillation; Second order; Nonlinear difference equation; Superlinear neutral term; 39A10