二阶脉冲积分微分方程周期边值问题

张林丽, 刘安平, 刘伟安

doi:10.13371/j.cnki.chin.q.j.m.2015.02.010

数学季刊 >

2015 , Vol. 30 >Issue 2: 227 - 235

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.02.010

二阶脉冲积分微分方程周期边值问题

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1. Department of Basic Course, Haikou College of Economics2. School of Mathematics and Physics, China University of Geosciences3. School of Mathematics and Statistics, Wuhan University

ZHANG Lin-li(1982-), female, native of Tianmen, Hubei, a lecturer of Haikou College of Economics, engages in theory and application of differential equation;LIU An-ping(1961-), male,native of Wuhan, Hubei, a professor of China University of Geosciences, M.S.D., engages in theory and application of partial functional differential equation.

收稿日期: 2013-06-20

网络出版日期: 2020-11-23

基金资助

Supported by the Natural Science Foundation of Hainan Province(112006)； Supported by the Natural Science Foundation of Department of Education of Hainan Province（Hjkj2013-47）； Supported by the National Basic Research Program of China(973Program,2011CB710600)；

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Periodic Boundary Value Problem for Second-order Impulsive Integro-differential Equation

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1. Department of Basic Course, Haikou College of Economics2. School of Mathematics and Physics, China University of Geosciences3. School of Mathematics and Statistics, Wuhan University

Received date: 2013-06-20

Online published: 2020-11-23

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摘要

In this paper, the properties of solution of periodic boundary value problem for second-order impulsive integro-differential equation are discussed. Using the iterative analysis method, the existence and uniqueness of periodic solution and the sufficient condition for uniform stability of trivial solution are obtained, which extend the previous results on integro-differential equation in periodic boundary value problem.

关键词： iterative analysis; periodic boundary value problem; existence; stability

本文引用格式

张林丽, 刘安平, 刘伟安 . 二阶脉冲积分微分方程周期边值问题[J]. 数学季刊, 2015 , 30(2) : 227 -235 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.02.010

Abstract

Key words： iterative analysis; periodic boundary value problem; existence; stability

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