The analysis of some special solutions of Mackey-Glass equation with variable delays

Yazgan R.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.45, ss.2984-2993, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1002/mma.7972
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.2984-2993
  • Anahtar Kelimeler: Banach fixed-point theorem, Mackey-Glass equation, weighted pseudo almost periodic, ALMOST-PERIODIC SOLUTIONS, HEMATOPOIESIS MODEL, ATTRACTIVITY, OSCILLATION, EXISTENCE, DYNAMICS
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This study is about getting some conditions that guarantee the existence and uniqueness of the weighted pseudo almost periodic (WPAP) solutions of Mackey-Glass with time-varying delays. Some adequate conditions have been obtained for the existence and uniqueness of the WPAP solutions of the Mackey-Glass, which we dealt with using some differential equation inequalities, the WPAP theory, and the Banach fixed-point theorem. Besides, an example is given to demonstrate the accuracy of the conditions of our main results.