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.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
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
关键词
非线性
积分不等式
欧阳不等式
离散不等式
Nonlinear integral inequality, Discrete analogue, Power Nonlinearity, A priori bound