CAJ | 학술논문

文章主要讨论了一类具有反应扩散项的广义高阶脉冲神经网络的稳定性和周期性，通过利用具有脉冲初始条件的时滞微分不等式以及M?锥性质和巴拿赫不动点定理，得到了其周期解的存在唯一性和全局渐近稳定性的充分条件。最后，给出了一个例子来说明研究结果的有效性。
문장주요토론료일류구유반응확산항적엄의고계맥충신경망락적은정성화주기성，통과이용구유맥충초시조건적시체미분불등식이급M?추성질화파나혁불동점정리，득도료기주기해적존재유일성화전국점근은정성적충분조건。최후，급출료일개례자래설명연구결과적유효성。
This paper is devoted to the stability and periodicity of a class of generalized impulsive high?order neural networks with reaction?diffusion terms. Some sufficient conditions are obtained for ensuring the existence,uniqueness and global asymptotical stability of a periodic solution for this system by using a delay differential inequality with impulsive initial condition,the properties of M?cone and Banach fixed point theo?rem.Finally,an example is given to illustrate the effectiveness of our results.