扰动型无穷时滞微分方程适度解的存在性

Existence of Mild Solutions for Perturbed Infinite Delay Differential Equations

利用相空间的方法,结合Hausdorff非紧性测度、强连续半群和Darbo不动点理论,研究相关半群在失去紧性的情况下,Banach空间中扰动型无穷时滞微分方程适度解的存在性,改进和推广了已有的一些结果.

The purpose of this paper is to prove the existence of mild solutions for perturbed infinite delay differential equations in Banach space by using the phase-space method, the Hausdorff＇s measure of noncompactness,the strongly continuous semigroup and the Darbo fixed point theory. Neither the semigroup nor the function f is needed to be compact in our result.