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中文摘要：
通过把所研究的问题转化为相应的泛函的临界点问题,利用临界点理论研究非线性梯度算子在锥中的不动点的存在性,并把它应用到一类积分方程中.
英文摘要：
By transforming the boundary value problem into the corresponding functionals of the critical point of the question,This paper mainly deals with the existences of fixed point for gradient algroithm of nonlinear operator in cones,and apply it to a calss of integral equations.
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