论文标题
关于非自治半线性系统的解决方案的存在和独特性
On the existence and uniqueness of solutions for non-autonomous semi-linear systems with non-instantaneous impulses, delay, and non-local conditions
论文作者
论文摘要
研究了非局限性冲动，延迟和受到非本地条件的扰动的非自主进化半线性差异系统。它的零件连续解决方案属于有限维的Banach空间。通过应用Karakostas固定点定理获得了间隔$ [-r，τ] $的解决方案的存在和唯一性。开发了有关解决方案延长的进一步结果。提出了一个示例，包括有关无限维情况的几个评论。
A non-autonomous evolution semi-linear differential system under non-instantaneous impulses, delays, and perturbed by non-local conditions is studied. Its piece-wise continuous solutions belong to a finite-dimensional Banach space. The existence and uniqueness of solutions on the interval $[-r,τ]$ are obtained by applying Karakostas fixed-point theorem. Further results concerning solution prolongation are developed. An example is presented, and several remarks on the infinite-dimensional case are included.
