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非线性三变量差分不等式及其应用

DOI: doi:10.3969/j.issn.1001-8395.2015.04.009, PP. 514-517

Keywords: 三变量差分不等式,不等式技巧,差分方程,解的估计

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Abstract:

在文献(B.G.Pachpatte.DemonstratioMath,2009,XLII341-351.)的基础上,建立了一类新的三变量非线性差分不等式.把参考文献中不等式右端和中的乘积因子u推广成u的非线性函数.运用变量替换技巧、放大技巧、积分微分技巧、反函数技巧、常量与变量的辩证关系,给出了不等式中未知函数的估计,推广了文献中相应不等式的结果.最后,用所得结果给出了三变量差分方程解的估计.

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