صندلی اداری

OSCILLATION THEOREMS FOR SECOND ORDER NEUTRAL DELAY AND ADVANCED DIFFERENCE EQUATIONS

R. Arul, G. Ayyappan

Abstract


In this paper we obtain some oscillatory behavior of solutions of the second order neutral difference equations of the form
$$

\Delta (r_n\Delta(x_n+p_n x_{n-k}))+q_n x_{n-\ell}+v_n x_{n-m}^{\alpha}=0,~~ n\in N_0

$$
and
$$

\Delta (r_n\Delta(x_n+p_n x_{n+k}))+q_n x_{n+\ell}+v_n x_{n+m}^{\alpha}=0,~~ n\in N_0.

$$

Examples are provided to illustrate the main results.


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