On the oscillation of solutions and existence of positive solutions of neutral difference equations. (English) Zbl 0732.39002

Lalli, B. S.; Zhang, B. G.; Li, Juan Zhao

J. Math. Anal. Appl. 158, No. 1, 213-233 (1991).

Sufficient conditions for the existence of positive solutions and for the oscillation of all solutions of \[ \Delta (x_ n+cx_{n-m})+p_ nx_{n-k}=0,\quad n=0,1,2,..., \] for different values of c with suitable examples are obtained.

Reviewer: B.M.Agrawal (Lashkar-Gwalior)

MSC:

39A10	Additive difference equations
39A12	Discrete version of topics in analysis

Keywords:

neutral difference equations; positive solutions; oscillation

References:

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