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Nonoscillation for a kind of second order linear difference equation with delay in impulses. (English) Zbl 1150.39009

Summary: Nonoscillation criteria for certain second order linear difference equation with delay in impulses are established in this paper. Furthermore, necessary and sufficient condition is obtained for the boundedness of the equation if the equation is nonoscillatory.

MSC:

39A11 Stability of difference equations (MSC2000)
39A10 Additive difference equations
39A12 Discrete version of topics in analysis