Weighted pseudo almost-automorphic solutions of quaternion-valued rnns with mixed delays

Yazgan R.

7th Ifs And Contemporary Mathematics Conference, Mersin, Türkiye, 25 Mayıs 2021, ss.60, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Mersin
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.60
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This work deals with a nonlinear differential equation for a quaternion-valued recurrent neural network(QVRNNs). Using the contraction mapping principle and some differential inequalities, sufficient conditions were obtained for the existence of weighted pseudo almost automorphic(WPAA) solutions in a certain region and the global exponential stability(GES) of these solutions. Here, methods were applied without real or complex decomposition of the equation system. In addition, an application verifying our results and its numerical simulation were given. The results generated about the WPAA solutions of the model under consideration are new.