| 若干有关欧阳不等式的非线性积分不等式和离散不等式 |
| |
| 引用本文： | 杨恩浩.若干有关欧阳不等式的非线性积分不等式和离散不等式[J].数学学报,1998,41(3):475-480. |
| |
| 作者姓名： | 杨恩浩 |
| |
| 作者单位： | 暨南大学数学系 |
| |
| 基金项目： | 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．
|
| 关 键 词： | 非线性积分不等式，离散相似物，幂非线性，先验界 |
| 收稿时间： | 1996-5-30 |
| 修稿时间： | 1996-11-4 |
On Some Nonlinear Integral and Discrete Inequalities Related to Ou Iang′s Inequality |
| |
| Yang Enhao.On Some Nonlinear Integral and Discrete Inequalities Related to Ou Iang′s Inequality[J].Acta Mathematica Sinica,1998,41(3):475-480. |
| |
| Authors: | Yang Enhao |
| |
| Institution: | Yang Enhao (Department of Mathematics, Jinan University, Guangzhou 510632, China) Fax: 85221941 |
| |
| Abstract: | 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. |
| |
| Keywords: | Nonlinear integral inequality Discrete analogue Power Nonlinearity A priori bound |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
