四川师范大学学报（自然科学版）2017，Vol.40Issue(2)：184-188,5.DOI:10.3969/j.issn.1001-8395.2017.02.007
一类非线性Volterra-Fredholm型四重无穷积分不等式
A Class of Nonlinear Volterra-Fredholm Type Integral Inequality Involving Four Iterated Infinite Integral
摘要
Abstract
A class of nonlinear Volterra-Fredholm type four iterated integral inequalities with variable lower limit and infinite upper limit is studied.Firstly,the conditions satisfied by known functions in the inequalities are supposed,then estimation for the unknown function in Volterra-Fredholm type integral inequalities is given by analytic techniques,such as change of variable,amplification of inequality,differentiation and integration,inverse function etc.Finally,in order to illustrate the validity of the established results,an application is presented,in which explicit bounds for the solutions of a class of Volterra-Fredholm type four iterated integral equations are deduced.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
林远华,王五生..一类非线性Volterra-Fredholm型四重无穷积分不等式[J].四川师范大学学报（自然科学版）,2017,40(2):184-188,5.基金项目
国家自然科学基金(11561019和11161018)、广西自然科学基金(2016GXNSFAA380090和2012GXNSFAA053009)和广西高等学校科研项目(KY2015ZD103和LX2014330) （11561019和11161018）
