【摘要】 利用Schauder不动点理论,引入线性变换,用逆变换的思想,定性与定量地研究一类中立型泛函微分方程周期解的问题,获得了这一类泛函微分方程周期解存在性与唯一性的充分条件.我们的研究方法异于相关文献中常用的方法.更多还原

【Abstract】 This paper is concerned with the existence and the uniqueness of periodic solutions for a class of neutral differential functional equations as follows =-a(t)x(t)+b(t)f(x(t))+b_i(t)f(x(t-σ_i(t)))+p(t). By analyzing some properties of operator A:X_t(M)→X_t(M),(Ax)(t)=x(t)-c_ix(t-τ_i), and then by using Schauder fixed point theory and inverse transform ideas,some new results on the existence and uniqueness of periodic solutions are obtained.The research method is different from the method commonly used in the literature.更多还原