caa a22 4500 606160167 CHVBK 20210128100628.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s00521-014-1784-9 doi (NATIONALLICENCE)springer-10.1007/s00521-014-1784-9 Square-mean almost periodic solution for stochastic Hopfield neural networks with time-varying delays on timescales [Elektronische Daten] [Yongkun Li, Li Yang, Wanqin Wu] In this paper, we first propose a concept of square-mean almost periodic function on timescales. Then, by means of the fixed point theory and differential inequality techniques on timescales, we establish some sufficient conditions on the existence and global exponential stability of square-mean almost periodic solutions for a class of stochastic Hopfield neural networks with time-varying delays on timescales. Our results are new even if the timescale $${\mathbb {T}}={\mathbb {R}}$$ T = R or $${\mathbb {Z}}$$ Z . Finally, we present an example to illustrate our theoretical results. The Natural Computing Applications Forum, 2014 Stochastic neural networks nationallicence Almost periodic solutions nationallicence Exponential stability nationallicence Timescales nationallicence Li Yongkun Department of Mathematics, Yunnan University, 650091, Kunming, Yunnan, People's Republic of China aut Yang Li School of Statistics and Mathematics, Yunnan University of Finance and Economics, 650221, Kunming, Yunnan, People's Republic of China aut Wu Wanqin School of Mathematics and Computer Science, Yunnan Nationalities University, 650091, Kunming, Yunnan, People's Republic of China aut Neural Computing and Applications Springer London 26/5(2015-07-01), 1073-1084 0941-0643 26:5<1073 2015 26 521 https://doi.org/10.1007/s00521-014-1784-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00521-014-1784-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Yongkun Department of Mathematics, Yunnan University, 650091, Kunming, Yunnan, People's Republic of China aut NATIONALLICENCE 700 1- Yang Li School of Statistics and Mathematics, Yunnan University of Finance and Economics, 650221, Kunming, Yunnan, People's Republic of China aut NATIONALLICENCE 700 1- Wu Wanqin School of Mathematics and Computer Science, Yunnan Nationalities University, 650091, Kunming, Yunnan, People's Republic of China aut NATIONALLICENCE 773 0- Neural Computing and Applications Springer London 26/5(2015-07-01), 1073-1084 0941-0643 26:5<1073 2015 26 521