四川师范大学学报（自然科学版）2013，Vol.36Issue(2)：258-262,5.DOI:10.3969/j.issn.1001-8395.2013.02.022
脉冲积分不等式未知函数的估计
Estimation of Unknown Function of Impulsive Integral Inequality
摘要
Abstract
Integral inequality is an important tool in the study of differential and integral equations. To estimate the unknown function of integral inequalities for discontinuous functions, one can study the properties of solutions for some impulsive differential system and impulsive integral equations. In this paper, a class of new integral inequalities for discontinuous functions is established. The left side of the inequality is a nonlinear factor of unknown function, and the sum-term of the right side of the inequality for the unknown function is also a nonlinear factor. Using mathematical induction, an estimation of upper bound of the unknown function is obtained. Finally, the result is applied to give an estimation of the solutions of impulsive differential equations.关键词
积分不等式/脉冲积分不等式/脉冲微分方程Key words
integral inequality/ impulsive integral inequality/ impulsive differential equation分类
数理科学引用本文复制引用
李自尊..脉冲积分不等式未知函数的估计[J].四川师范大学学报（自然科学版）,2013,36(2):258-262,5.基金项目
广西自然科学基金项目(2012GXNSFAA053009)和广西教育厅科研基金(201204LX423)资助项目 （2012GXNSFAA053009）
