一类新的脉冲积分不等式及其应用
A Class of New Impulsive Integral Inequality and Its Application
DOI: 10.12677/PM.2013.31007, PDF, HTML, 下载: 3,358  浏览: 9,165  科研立项经费支持
作者: 李自尊*, 黄 勇*：百色学院数学与计算机信息工程系
关键词: 脉冲积分不等式；脉冲微分方程；解的估计； Impulsive Integral Inequality; Impulsive Differential Equation; Estimation of Solution
摘要: 本文建立了一类新的非连续函数积分和不等式，其不等式左端为未知函数的非线性因子，右端和项中也为未知函数的非线性因子。我们给出了未知函数的界的估计。最后，我们用求得的结果给出了脉冲微分方程解的估计。
Abstract: In this paper, we establish a class of new integro-sum inequality for discontinuous function, and the left hand of the inequality is a nonlinear factor of unknown function, and the sum-term of the right hand of the inequality for the unknown function is also a nonlinear factor. We obtain the estimation of bound of the unknown function. Finally, we apply our result to present estimation of the solution of impulsive differential equation.
文章引用：李自尊, 黄勇. 一类新的脉冲积分不等式及其应用[J]. 理论数学, 2013, 3(1): 41-45. http://dx.doi.org/10.12677/PM.2013.31007

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