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

Yazgan R.

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

  • Publication Type: Article / Article
  • Volume: 45
  • Publication Date: 2022
  • Doi Number: 10.1002/mma.7972
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: 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
  • Page Numbers: pp.2984-2993
  • Keywords: Banach fixed-point theorem, Mackey-Glass equation, weighted pseudo almost periodic, ALMOST-PERIODIC SOLUTIONS, HEMATOPOIESIS MODEL, ATTRACTIVITY, OSCILLATION, EXISTENCE, DYNAMICS
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.