多变量的积分不等式的推广及应用

Generalization of Multivariable Integral Inequalities and Applications

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摘要讨论了多变量情形下的非线性积分不等式,和已有的结果相比,该结果不受函数单调性的限制,从而把Cheung和Ma的相关结果作为本文结果的特殊情形,并将结果应用到证明偏微分方程解的有界性上. Multivariable nonlinear integral inequality is discussed. Compared with the known results, it does not need the restriction of monotonicity of nonlinear function. So Cheung＇ s and Ma＇ s results can be derived from the result as a special case. It is also applied to show the boundary of a partial differential equation.

作者郑克龙

机构地区西南科技大学理学院

出处《宜宾学院学报》 2008年第6期28-30,共3页 Journal of Yibin University

基金四川省教育厅基金资助项目(2006C082)

关键词积分不等式多变量非线性函数 Integral Inequality Muhivariable Nonlinear Function

分类号 O175 [理学—基础数学]

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1[1]PINTO M.Intedgral inequalities of Bihari-Type and Applications[J].Funkcialaj Ekvac,1990(33):387 -403.
2[2]PACHPATTE B G.On some fundamental integral inequalities and their discrete analogues[J].J.Ineq.Pure.Appl.Math,2001,2(2).
3[3]MENG F W,LI W N.On some new integral inequalities and their applications[J].Appl.Math.Comput,2004,148(2):381 -392.
4[4]CHEUNG W S,MA Q H.On certain Gronwall-Ou -Lang type integral inequalities in two variables and their applications[J].J.Ineq.Appl,2005(4):347-361.
5[5]DRAGOMIR S S,KIM Y H.On Certain New Integral Inequalities and Their Applications[J].J.Ineq.Pure Appl.Math.2002,3(4):8.
6[6]DRAGOMIR S S,KIM Y H.Some Integral Inequalities for Functions of Two Variables[J].Electron.J.Differential Equations,2003,13.

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宜宾学院学报

2008年第6期

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多变量的积分不等式的推广及应用

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