具有有限时滞的测度泛函微分方程的存在性  

Existence of Measure FunctionalDifferential Equations withFinite 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》2024年第11期25-35,共11页Pure Mathematics

摘　　要：本文研究Banach空间中具有有限时滞的半线性测度泛函微分方程的解的存在性,应用不动点定理和正则函数空间中关于Kuratowski非紧性测度的结论证明了该系统的解的存在性判据,其中不要求系统中线性部分相关联的C0半群的紧性,所得结果是已有文献的补充和推广。最后通过一个例子来说明所得结论的应用。The paper investigates the existence of solutions of semi-linear measure functional differential equations with finite delay in Banach spaces. Some existence criteria of solutions for the system are showed by using a fixed point theorem and the results on Kuratowski measure of non-compactness in the space of regulated functions. The C0 semigroup related to the linear part of the system is not claimed to be compact. The result obtained is the supplement and extension of the existing literature. Finally, the application of the results is elucidated by an example.

关 键 词：测度泛函微分方程 LEBESGUE-STIELTJES积分 正则函数 C₀半群 Kuratowski非紧性测度 有限时滞 

分 类 号：O17[理学—数学]