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=\\max(-x,0)$,$\\phi_p(s)=|s|^{p-2}s$,$p\\geq2$, $a $ and $b$ are positive constants $(a\\not=b)$, the perturbation $f(t)\\in {\\cal C}^{23}(\\RR/2\\pi_p \\ZZ)$, the oscillating term $G\\in {\\cal C}^{21}(\\RR\\times\\RR/2\\pi_p \\ZZ)$,where $\\pi_p=\\frac{2\\pi(p-1)^{\\frac{1}{p}}}{p\\sin\\frac{\\pi}{p}},$ and $G(x,t)$ satisfies $\\label{G} |D_x^iD_t^jG(x,t)|\\le C,\\quad 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