Some Oscillation and Non-Oscillation Theorems for Fourth Order Difference Equations

  • E. Thandapani

    University of Madras, Chennai, India
  • I.M. Arockiasamy

    Periyar University, Salem, India

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