西北师范大学学报（自然科学版）2017，Vol.53Issue(2)：8-12,5.DOI:10.16783/j.cnki.nwnuz.2017.02.002
一类非线性弱奇异多重积分不等式中未知函数的估计及其应用
Estimation of unknown function of a class of nonlinearweakly singular triple integral inequality and its application
摘要
Abstract
A class of nonlinear weakly singular multiple integral inequalities are investigated in this paper,which include a nonconstant term outside the integrals,and integral variable is included in the integrands in the integral inequality.The upper bounds of the embedded unknown functions are estimated explicitly by adopting some analysis techniques,such as discrete Jensen inequality, Cauchy-Schwarz integral inequality,the techniques of change of variable,and the method of amplification.The derived results can be applied in the study of qualitative properties of solutions of multiple fractional integral equations.关键词
弱奇异三重积分不等式/离散Jensen不等式/Cauchy-Schwarz积分不等式/上界估计Key words
weakly singular triple integral inequalities/discrete Jensen inequality/Cauchy-Schwarz integral inequality/estimation of upper bound分类
数理科学引用本文复制引用
黄基廷,王五生..一类非线性弱奇异多重积分不等式中未知函数的估计及其应用[J].西北师范大学学报（自然科学版）,2017,53(2):8-12,5.基金项目
国家自然科学基金资助项目(11561019,11161018) （11561019,11161018）
广西自然科学基金资助项目(2012GXNSFA A053009) （2012GXNSFA A053009）
广西高等学校科研自治项目(KY2015ZD103,KY2015YB257) （KY2015ZD103,KY2015YB257）
