In this paper we investigate stability of uniformly attracting sets for semiflows generated by impulsive infinite-dimensional dynamical systems without uniqueness. Obtained abstract results are applied to weakly nonlinear parabolic system, whose trajectories have jumps at moments of intersection with certain surface in the phase space.

中文翻译：

---

脉冲多值半流的均匀吸引子的稳定性

在本文中，我们研究了由脉冲无穷大动力系统无唯一性所产生的半流的均匀吸引集的稳定性。将获得的抽象结果应用于弱非线性抛物线系统，该系统的轨迹在相空间中与特定表面相交的时刻具有跳跃。