若干有关欧阳不等式的非线性积分不等式和离散不等式  

On Some Nonlinear Integral and Discrete Inequalities Related to Ou Iang′s Inequality

作　　者：杨恩浩[1] 

机构地区：[1]暨南大学数学系

出　　处：《数学学报（中文版）》1998年第3期475-480,共6页Acta Mathematica Sinica：Chinese Series

基　　金：广东省自然科学基金;国务院侨办重点学科基金

摘　　要：获得几个非线性的积分不等式及离散不等式．它们和近期Ｐａｃｈｐａｔｅ［１］中欧阳亮不等式［２］的推广有关．作为特殊情形还导出了一些具有幂非线性的新不等式．为说明结果的有用性，讨论了某个非线性差分方程解的有界性．Nonlinear integral and discrete inequalities are obtained which related to some recent generalizations of Ou Iang integral inequality given by B.G. Pachpatte in . As special cases some new inequalities with the power nonlinearity are derived from our main results. To convey the usefulness of the results obtained, boundedness of solutions to a certain nonlinear difference equation is also discussed.

关 键 词：非线性 积分不等式 欧阳不等式 离散不等式 

分 类 号：O178[理学—数学]