N. Parhi MIG-II, No. 249, Satya Sai Enclave, Khandagiri, Bhubaneswar 751030, India, e-mail: parhi2002@rediffmail.com; Anita Panda, IcfaiTech, Bhubaneswar, A-123, Mancheswar Industrial Estate-751010, India, e-mail: anitapanda\_jitm@yahoo.co.in
Abstract: In this paper, sufficient conditions are obtained for oscillation of all solutions of third order difference equations of the form
y_{n+3} +r_{n} y_{n+2} +q_{n} y_{n+1} +p_{n} y_{n} =0,\quad n\ge0.
These results are generalization of the results concerning difference equations with constant coefficients
y_{n+3} +ry_{n+2} +qy_{n+1} +py_{n} =0,\quad n\ge0.
Oscillation, nonoscillation and disconjugacy of a certain class of linear third order difference equations are discussed with help of a class of linear second order difference equations.
Keywords: third order difference equation, oscillation, nonoscillation, disconjugacy, generalized zero
Classification (MSC2000): 39A10, 39A12
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