Oscillation of a Certain Class of Third Order Nonlinear Difference Equations

@inproceedings{Saker2010OscillationOA,
  title={Oscillation of a Certain Class of Third Order Nonlinear Difference Equations},
  author={Samir H. Saker},
  year={2010}
}
In this paper, we are concerned with oscillation of the nonlinear difference equation ∆(cn [∆(dn∆xn)] )+qn f (xg(n)) = 0, n≥ n0, where γ > 0 is the quotient of odd positive integers, cn, dn and qn are positive sequences of real numbers, g(n) is a sequence of nonnegative integers and f ∈ C(R,R) such that u f (u) > 0 for u 6= 0. We establish some new sufficient conditions for oscillation by employing the Riccati substitution and the analysis of the associated Riccati difference inequality. Our… CONTINUE READING

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