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中文摘要：
该文建立了一类非线性差分不等式.此不等式包含了非线性函数与未知函数的复合函数,是一个具有多重和的差分不等式.利用单调技巧、放大方法、积分中值定理、变量替换技巧、差分和求和技巧,给出了未知函数的上界估计.最后,用所得结果研究了差分方程解的估计.
英文摘要：
In this paper,we establish a class of nonlinear difference inequalities,where the inequalities consist of multiple iterated sums,and composite function of nonlinear function and unknown function.Firstly,the upper bounds of the unknown functions are given by technique of monotonization,amplification method,the mean-value theorem for integrals,technique of change of variable,difference and summation.Finally,we apply our derived results to the study of the estimation of solutions of difference equations.
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