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Keywords:
nonoscillatory and oscillatory solution; second order Riccati equation
Summary:
Our aim in this paper is to obtain a new oscillation criterion for equation $y^{\prime \prime \prime }+ p(t)y^{\prime } + q(t)y = 0$ with a nonnegative coefficients which extends and improves some oscillation criteria for this equation. In the special case of equation (*), namely, for equation $y^{\prime \prime \prime }+ q(t)y = 0$, our results solve the open question of $Chanturiya$.
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