Abstract

In this paper we study the oscillation criteria for the second order nonlinear difierential equation with delay and advanced arguments of the form ((x(t) + a(t)x(t i ae1) + b(t)x(t + ae2)) fi ) 00 + q(t)x fl (t i ?1) + p(t)x ∞ (t + ?2) = 0; t ‚ t0 where ae1; ae2; ?1 and ?2 are nonnegative constants and fi; fl and ∞ are the ratios of odd positive integers. Examples are provided to illustrate the main results.

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