巴拿赫空间中的可和性、可积性与脉冲微分方程
On summability, integrability and impulsive differential equations in Banach spaces
摘要：
我们将首先研究赋范空间中的族的可和性，赋范空间的指标是由无限延拓的实数的良序集。应用所得结果和推广的迭代法，得到了阶跃映射和右调节映射从无穷远实区间到巴拿赫空间的HK、HL、Bochner和Riemann可积的充要条件.最后研究了脉冲微分方程的可解性。
英文摘要：
We shall first study summability of families in normed spaces indexed with well ordered sets of real numbers extended by infinity. Obtained results and a generalized iteration method are applied to derive necessary and sufficient conditions for HK, HL, Bochner and Riemann integrability of step mappings and for right regulated mappings from an interval of reals extended by infinity to a Banach space. Finally, solvability of impulsive differential equations are studied.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
