Oscillation of fourth-order nonlinear homogeneous neutral difference equation. (English) Zbl 1489.39014

Sumitha, G.; Kodeeswaran, R.; Noeiaghdam, S.; Balamuralitharan, S.; Govindan, V.

Int. J. Differ. Equ. 2022, Article ID 2406736, 7 p. (2022).

Summary: In this paper, we establish the solution of the fourth-order nonlinear homogeneous neutral functional difference equation. Moreover, we study the new oscillation criteria have been established which generalize some of the existing results of the fourth-order nonlinear homogeneous neutral functional difference equation in the literature. Likewise, a few models are given to represent the significance of the primary outcomes.

MSC:

39A21	Oscillation theory for difference equations
39A12	Discrete version of topics in analysis
34K11	Oscillation theory of functional-differential equations
34K40	Neutral functional-differential equations

Keywords:

neutral functional-difference equation; oscillation

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