【摘要】 研究Banach空间中一类具非局部条件的一阶混合Volterra-Fredholm积分微分方程.利用Hausdorff非紧性测度和Darbo不动点定理,在相关函数非紧、非Lipschitz等较弱的条件下,给出此类方程整体解的存在性,改进了一些已有的结果.更多还原

【Abstract】 This paper is concerned with a class of mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions in Banach spaces.Using the theory of Hausdorff’s measure of non-compactness and Darbo’s fixed point theorem,the existence result of global solutions is obtained under some relatively weak conditions,which improves some previous results.更多还原