四川师范大学学报(自然科学版)2012,Vol.35Issue(2):180-183,4.DOI:10.3969/j.issn.1001-8395.2012.02.008
一类新的非线性时滞积分不等式及其应用
A New Nonlinear Retarded Integral Inequality and Its Application
摘要
Abstract
In this paper, we study a new nonlinear retarded integral inequality on the basis of the literature (J. Inequ. Appl. , 2009,2009:258569. ). Our integral inequality adds two nonlinear factors. In particular, the first integral of the inequality in the literature only contains the linear factor of unknown function, our first integral contains the nonlinear factor of unknown function. Finally, the result is used for studying the estimation of the solutions of differential equations.关键词
积分不等式/时滞/边值问题/有界性Key words
integral inequality/retarded/boundary value problem/boundedness 2000 MSC:26D10/26D15/26D20/34B15分类
数理科学引用本文复制引用
王五生,李自尊..一类新的非线性时滞积分不等式及其应用[J].四川师范大学学报(自然科学版),2012,35(2):180-183,4.基金项目
国家自然科学基金(11161018)和广西自然科学基金(0991265)资助项目 (11161018)
河池学院应用数学重点学科基金(200725)、河池学院重点课题(2009YAZ-N001)和重点课程《数学建模》(20089)对本文给予了资助,谨致谢意. (200725)