线性非卷积型Volterra积分方程和积分微分方程的周期解

PERIODIC SOLUTIONS OF LINEAR NONCONVOLUTK VOLTERRA INTEGRAL EQUATIONS AND INTEGRODIFFERENTIAL EQUATIONS

其中g,q,x,y,f∈R^n,A,C,D为n×n矩阵。假设A(t),f(t)在(-∞,∞)上连续,C,D当-∞>s,t<∞为连续。 本文的主要进展是建立了这些方程的周期解表达公式。在非卷积情况下,文献中仅见T.A.Burton[1]就方程(0.4)当D≡0时给出的一个周期解公式:

The main aim in this paper is to establish the representation formula of periodic solutions of the following Volterra equations of the form As the corollaries to our results,the corresponding results in [1]—[5] are included.