【摘要】 首先提出Banach空间混合型微分─积分方程初值问题的拟上、下解的概念，然后研究初值问题的最大、最小拟解对的存在性，在这里，我们去掉了一般文献中所用的耗算型条件和紧型条件，推广和改进了文[2，3]中相应的结果，而且证明方法也不同于以往文献。更多还原

【Abstract】 We considen an initial value problem for integro-differatial equations of rnixed -type in Banach spaces.First. we give the definetion of quasi - apper and lower solution in integro - differential equations of mixed type.Then,Study the existence of the maximal and mininal quasi -solutions pair. Our results inproves and generilizas the results in [2, 3],and the method of proof is different from past literature.更多还原