中北大学学报（自然科学版）2017，Vol.38Issue(3)：269-272,281,5.DOI:10.3969/j.issn.1673-3193.2017.03.004
一类非线性Volterra-Fredholm型四重变下限无穷积分不等式
A Class of Nonlinear Volterra-Fredholm Type Four Iterated Infinite Integral Inequality with Variable Lower Limit
摘要
Abstract
A class of nonlinear Volterra-Fredholm type four iterated integral inequality with variable lower limit and infinite upper limit is studied, in which there is also a term of one variable integral.Firstly, two new functions are defined by known functions in the inequality, and then some conditions are assumed which should be satisfied by the two new functions and known functions in the inequality.Finally, the estimation for the unknown function in Volterra-Fredholm type integral inequality is given by analysis techniques, such as change of variable, amplification of functions, inverse function.关键词
Volterra-Fredholm型积分不等式/无穷积分/变下限积分/未知函数的估计Key words
Volterra-Fredholm type integral inequalities/infinity integral/integral with variable lower limit/estimation of unknown function分类
数理科学引用本文复制引用
侯宗毅..一类非线性Volterra-Fredholm型四重变下限无穷积分不等式[J].中北大学学报（自然科学版）,2017,38(3):269-272,281,5.基金项目
国家自然科学基金资助项目(11161018) （11161018）
广西自然科学基金资助项目(2012GXNSFAA053009) （2012GXNSFAA053009）
广西高等学校科研资助项目(KY2015ZD103,KY2015YB257) （KY2015ZD103,KY2015YB257）
