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In this paper, we establish several necessary and sufficient conditions for oscillation of the solutions of the following even order differential equation\[x^{(n)}(t) + q(t)x^\gamma (t) = 0, \quad \mbox{$n$ is even},\]where \( q(t) \in C([t_0 ,\infty ),{\mathbb R}^ + )\) and \(\gamma\) is the quotient of odd positive integers.