Bielecki–Ulam’s Types Stability Analysis of Hammerstein and Mixed Integro–Dynamic Systems of Non–Linear Form with Instantaneous Impulses on Time Scales

• Syed Omar Shah ^[1] ; Cemil Tunç ^[3] ; Rizwan Rizwan ^[4] ; Akbar Zada ^[2] ; Qayyum Ullah Khan ^[1] ; Iftikhar Ullah ^[1] ; Ibrar Ullah ^[1]
  1. [1] Qurtuba University of Science and Information Technology

     Qurtuba University of Science and Information Technology

     Pakistán

     
  2. [2] University of Peshawar

     University of Peshawar

     Pakistán

     
  3. [3] Van Yuzuncu Yil University
  4. [4] University of Buner

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
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• Resumen

  • In this paper, the stability in terms of Bielecki–Ulam–Hyers and stability in terms of Bielecki–Ulam–Hyers–Rassias of non–linear impulsive Hammerstein integro– dynamic system with delay and non–linear impulsive mixed integro–dynamic system on time scales are achieved by utilizing fixed point approach along with Lipschitz condition and Gronwall’s inequality. Examples are also provided for the verification of the results.