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中文摘要：
建立了一个二变量的和差分不等式，该不等式不仅右端和号外的项是非常数项，而且包含k项未知函数和非线性函数的复合函数；运用单调化技巧和强单调概念给出了不等式中未知函数的上界估计；所得结果可以用来估计Cheung WS（2006）和王五生（2008）所研究的不等式中的未知函数；最后，用研究不等式得到的结果研究二变量差分方程初边值问题的有界性、唯一性和连续依赖性．
英文摘要：
In this paper, we establish a general form of sum-difference inequality in two variables, which contains both a nonconstant term outside the sums and k terms of nonlinear sums. We employ a technique of monotonization and use a property of stronger monotonicity to give an estimate for the unknown function. Our result enables us to solve those discrete inequalities considered in the work of Cheung W S （2006） and Wang W S （2008）. Furthermore, we apply our result to a boundary value problem of a partial difference equation for boundedness, uniqueness and continuous dependence.
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