Banach空间中无穷时滞积分微分方程适度解的存在性

Existence of Solutions to Delay Integrodifferential Inclusions in Banach Spaces

利用相空间的方法,结合Hausdorff非紧测度、强连续半群、不动点理论,研究相关半群在失去紧性的情况下,Banach空间中无穷时滞积分微分方程适度解的存在性,改进和推广了已有的结果。

In this paper,we study the existence of mild solutions of integrodifferential inclusions with delay in Banach spaces.When semigroup is no need to be compact by using the phase space method,the Hausdoff＇s measure of noncompactness and fixed point theorem.The results we obtained are a generalization and continuation of the recent results on this issue.