A Class of Impulsive Integral Inequalities with Logarithmic Form

张菊平; 靳祯

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A Class of Impulsive Integral Inequalities with Logarithmic Form

更新时间：2026-09-14

- A Class of Impulsive Integral Inequalities with Logarithmic Form
- 一类具有对数形式的脉冲积分不等式
- Issue 3, Pages: 162-165(2004)
- 作者机构：
  
  1. ,山西,太原,030051
  2. 华北工学院应用数学系,山西,太原,030051
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2004
- 稿件说明：
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张菊平, 靳祯. A Class of Impulsive Integral Inequalities with Logarithmic Form[J]. 2004, (3): 162-165.
DOI：

张菊平, 靳祯. A Class of Impulsive Integral Inequalities with Logarithmic Form[J]. 2004, (3): 162-165. DOI：

摘要

　利用已知线性脉冲不等式的研究结果证明了一类非线性的脉冲积分不等式

并利用取指数函数求解积分不等式和均值不等式等方法

给出了一些不等式的精确上界.

Abstract

The paper proves a class of nonlinear impulsive integral inequalities by means of the result of known linear impulsive inequalities. The exact upper bound of inequalities is given in terms of getting exponential function

solving integral inequality and average inequality and so on.

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references

　LakshmikanthamV,BainovDD,SimeonorPS.Theoryofimpulsivedifferentialequations[J].SeriesinModernAppliedMathematics,1989,6:33-50.

　PerestyukNA,SamoilenkoAM.Stabilityofsolutionsofdifferentialequationswithimpulseeffect[J].Diff.U-ravn.,1997,13:1981-1992.

　ChernikovaOS,PerestyukNA.Ontheproblemofstabilityofsolutionsofsystemsofdifferentialequationswithimpulseeffect[J].Ukr.Math.Jour,1984,36:190-195.

　BainovDD,SimeonovPS.Onanintegralinequalityforpiecewisecontinuousfunctions[J].Jour.Math.Phy.Sci.,1987,21:315-323.

　BainovDD,SimeonovPS.Onanintegralinequalityforpiecewisecontinuousfunctions[J].CompesRendusdelA-cademieBulgaredesSciences,1987,40:251-269.

　梁赛良,宁存法.一类脉冲微分方程正周期解的存在性与吸引性[J].华北工学院学报,2003,24(5):390-391.

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