无穷时滞测度泛函微分方程的解的存在性  

Existence of Solutions of MeasureFunctional Differential Equationswith Infinite Delay

作　　者：曹跃菊 

机构地区：[1]上海出版印刷高等专科学校基础教学部,上海

出　　处：《理论数学》2023年第10期3037-3047,共11页Pure Mathematics

摘　　要：本文研究Bamach空间中具有无穷时滞的半线性测度泛函微分方程的温和解的存在性,应用Schauder不动点定理给出了系统的解的存在性判据,推广和改进了已有文献中的结果,最后给出了一个例子来说明所得结论。The paper investigates the existence of mild solutions for semilinear measure functional differential equations with infinite delay in Banach spaces. Some existence criteria forthe system are obtained by using Schauder's fixed point theorem. The results in thispaper improve and generalize those well known in the literature. Finally, an exampleis given to illustrate our results.

关 键 词：测度泛函微分方程 无穷时滞 Lebesgue-Stielties积分 正则函数 C₀半群 

分 类 号：O17[理学—数学]