2020 Mathematics Subject Classification. 34C25, 34K13, 34K25. Key words and phrases. Neural networks, proportional delay, D operator, weighted pseudo almost periodic solution. The work is partially supported by the National Natural Science Foundation of China (Nos. 11971076, 51839002); International Cooperation and Expansion Project of ”Double First-class” (No. 2019IC37). ∗ Corresponding author: Chuangxia Huang and Jinde Cao.