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

ZHANG Lin-li, LIU An-ping, LIU Wei-an

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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.

Received date: 2013-06-20

Online published: 2020-11-23

Supported by

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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Abstract

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.

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

Cite this article

ZHANG Lin-li, LIU An-ping, LIU Wei-an . Periodic Boundary Value Problem for Second-order Impulsive Integro-differential Equation[J]. Chinese Quarterly Journal of Mathematics, 2015 , 30(2) : 227 -235 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.02.010

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