Unpredictable Solutions of Impulsive Quasi-Linear Systems

AKHMET M., Tleubergenova M., Nugayeva Z.

Discontinuity, Nonlinearity, and Complexity, cilt.11, sa.1, ss.73-89, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.5890/dnc.2022.03.006
  • Dergi Adı: Discontinuity, Nonlinearity, and Complexity
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.73-89
  • Anahtar Kelimeler: Quasilinear system Impulsive unpredictable system Discontinuous unpredictable function Discrete unpredictable set Discontinuous unpredictable solution Asymptotical stability
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 2022. L&H Scientific Publishing, LLC. All Rights Reserved.The impulsive differential equations with unpredictable perturbations are under investigation. The definition of the discontinuous unpredictable function with the discrete unpredictable set of discontinuity moments is introduced. The existence and uniqueness of asymptotically stable discontinuous unpredictable solutions for quasi linear systems are proved. Examples with simulations are given to illustrate the results.