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In this paper, we are concerned with the following Hardy-Sobolev type systemwhere0〈α〈n,0〈tl,t2 〈min{α,k},andl 〈p〈Tl= n＋α-2t1/n-α;l〈q≤T2：; n＋α-2t2/n-α,We first establish the equivalence of classical and weak solutions between PDE system （0.1）and the follow