Oscillation of fourth order nonlinear neutral difference equations. II. (English) Zbl 1199.39018

Tripathy, A. K.

Math. Slovaca 58, No. 5, 581-604 (2008).

The object of this paper is to study the oscillatory and asymptotic properties of solutions of a class of fourth order nonlinear neutral difference equations. Conditions are derived so that either all solutions are oscillatory or tend to zero or the difference equation admits a positive bounded solution.
For part I, cf. Math. Slovaca 58, No. 2, 221–240 (2008; Zbl 1174.39004).

Reviewer: Michal Fečkan (Bratislava)

MSC:

39A21	Oscillation theory for difference equations
39A10	Additive difference equations
39A22	Growth, boundedness, comparison of solutions to difference equations
39A12	Discrete version of topics in analysis
34K40	Neutral functional-differential equations

Keywords:

oscillation; fourth order nonlinear neutral difference equations; positive solutions; asymptotic behaviour; bounded solution