一类差分不等式解的估计  

Estimation of solutions for a class of difference inequalities

作　　者：陈立强 王五生[1] CHEN Liqiang;WANG Wusheng(Institute of Mathematical,Hechi University,Yizhou,Guangxi 546300,China)

机构地区：[1]河池学院数理学院,广西宜州546300

出　　处：《华中师范大学学报（自然科学版）》2021年第4期517-521,526,共6页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11961021)。

摘　　要：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.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.

关 键 词：微分积分方程 差分不等式 解的估计 显式表示 

分 类 号：O175.5[理学—数学]