一类差分不等式解的估计

研究了一类非线性Volterra-Fredholm型和差分不等式.利用分析数学常见的处理手段，例如：不等式放缩、反函数、替换变量、累加求和、单调性技巧等，推导出了和差分不等式的未知函数的显式上界估计，推广了现行文献已有的结论，并举例说明未知函数的显上界估计的正确性.

Estimation of solutions for a class of difference inequalities

In this paper， a class of nonlinear Volterra-Fredholm type sum difference inequalities is studied. We make use of the common processing methods of analytical mathematics， such as inequality contraction， inverse functions， substitution of variables， summation and monotony techniques. In this paper， the explicit upper bound estimation of unknown function and difference inequality is derived， which generalizes the existing conclusions in the literature， and illustrates the correctness of the explicit upper bound estimation of unknown function with examples.