Some Oscillation and Non-Oscillation Theorems for Fourth Order Difference Equations
E. Thandapani
University of Madras, Chennai, IndiaI.M. Arockiasamy
Periyar University, Salem, India
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Abstract
Sufficient conditions are established for oscillation of all solutions of the fourth order difference equation
where is the forward difference operator are real sequences, and is a real-valued continuous function. Also, sufficient conditions are provided which ensure that all non-oscillatory solutions of the equation approach zero as . Examples are inserted to illustrate the results.
Cite this article
E. Thandapani, I.M. Arockiasamy, Some Oscillation and Non-Oscillation Theorems for Fourth Order Difference Equations. Z. Anal. Anwend. 19 (2000), no. 3, pp. 863–872
DOI 10.4171/ZAA/985