Oscillation for Certain Third Order Functional Delay Difference Equation


  • Government Arts College, Department of Mathematics, Udumalpet, Tamilnadu, 642 126, India


This paper is concerned with the third order functional delay difference equation of the form Δ(CnΔ(anΔxn)) + mΣi=1pniΔxσi(n-r) + mΣi=1qnif (xσi(n-r)) = 0. We obtain some new oscillation criteria by using Riccati transformation technique. Examples are given to illustrate the results.


Difference equation, Delay, Oscillation, Nonoscillation, Riccati transformation

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