Volterra型线性微分积分方程周期解反例的构造与不稳定性

摘要

构造了Volterra型线性微分积分方程和线性积分方程的反例,从而说明Burton的某些结果是不成立的.在此基础上,解决了Burton提出的关于Volterra型线性积分方程和线性微分积分方程周期解的渐近稳定性的一个问题.%A linear integral-differential equation and a linear integral equation, namely, structure of two counter-examples with infinite periodic solutions are given for illustrating some results of Burton to be false.And then,the asymptotic stability of the solutions to linear integral equation and a linear integral-differential equation as proposed by Burton as an open issue is solved.