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Existence and Approximate Controllability of Semilinear Measure Driven Systems with Nonlocal Conditions
Bulletin of the Iranian Mathematical Society ( IF 0.7 ) Pub Date : 2021-04-22 , DOI: 10.1007/s41980-021-00546-2
Haide Gou , Yongxiang Li

The purpose of this paper is to study the existence of mild solutions and approximate controllability for measure driven evolution system with nonlocal conditions. First, we obtain the existence of mild solutions and approximate controllability for the concerned problem by constructing new Green’s function and control function involving Gramian controllability operator. This research relies on Schauder’s fixed point theorem and the theory of operator semigroup. At the end, two examples are also given to illustrate the feasibility of our theoretical results.



中文翻译:

具有非局部条件的半线性测度驱动系统的存在性和近似可控性

本文的目的是研究非局部条件下测度演化系统的温和解和近似可控性。首先,通过构造涉及格林可控性算子的新格林函数和控制函数,获得有关问题的温和解和近似可控性的存在。该研究依赖于Schauder不动点定理和算子半群理论。最后,还给出了两个例子来说明我们理论结果的可行性。

更新日期:2021-04-22
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