This paper presents a study on a family of second-order retarded semilinear control systems with non-local delay condition. The existence and uniqueness of mild solution has been deduced using the famous Banach contraction principle. An inclusion relation between the reachable set of semilinear control system and that of the associated linear system has been established. Finally, one example has been described to demonstrate the application of the proposed results.

中文翻译：

---

二阶非局部滞后半线性系统的温和解和可控制性

本文提出了具有非局部时滞条件的一类二阶滞后半线性控制系统的研究。使用著名的Banach收缩原理推导了温和溶液的存在和唯一性。已经建立了半线性控制系统的可到达集合与相关线性系统的可到达集合之间的包含关系。最后，已经描述了一个例子来证明所提出的结果的应用。