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

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