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一类新的含反常积分的非线性不等式 被引量:1

A new class of nonlinear inequalities involving improper integrals
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摘要  对满足一类新的含反常积分非线性不等式的有界函数建立了先验逐点估计.这类含反常积分的非线性不等式与笔者以前证明的某些非线性积分不等式密切相关. A priori point - wise estimations are established for bounded functions satisfying a new class of nonlinear inequalities involving improper integrals. These new improper integral inequalities are closely related with some integral inequalities proved by the present author in an earlier paper.
作者 杨恩浩
机构地区 暨南大学数学系
出处 《暨南大学学报(自然科学与医学版)》 CAS CSCD 北大核心 2005年第3期273-278,共6页 Journal of Jinan University(Natural Science & Medicine Edition)
基金 广东省自然科学基金(940651)资助项目
关键词 积分不等式 非线性 反常积分 integral inequalities nonlinear improper integral
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  • 1[1]Pachpatte B G.Inequalities for differential and integral equations[M].San Diego:Academic Press,1998.
  • 2[2]Pachpatte B G.On a certain inequatity arising in the theory of differential equations[J].J Math Anal Appl,1994,182:143-157.
  • 3[4]Cheung W S,Ma Q H.On certain Gronwall-Ou-Iang type integral inequalities in two variables and their applications[J].J Inett Appl,2005(4):347-361.
  • 4[5]Meng F W,Li W N.On some new integral inequalities and their applications[J].Appl Math Comput,2004(148):381-392.
  • 5[6]Agarwal R P,Deng S F,Zhang W N.Generalizaiton of a retarded Gronwall-like inequality and its applications[J].Appl Math Comput,2005(165):599-612.
  • 6[7]Vang Enhao,Can Luru.Same two independent variable inequalities involving improper integrals[J].J Chinese Ann Math:Ser B,1998(11):410-417.
  • 7MaQinghua,YangEnhao.SOME NONLINEAR INEQUALITIES INVOLVING IMPROPER INTEGRALS AND THEIR DISCRETE ANALOGUES[J].Applied Mathematics(A Journal of Chinese Universities),2003,18(3):267-275. 被引量:3

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