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

Shah, Syed; Tunç, Cemil; Rizwan, Rizwan; Zada, Akbar; Khan, Qayyum; Ullah, Iftikhar; Ullah, Ibrar

doi:10.1007/s12346-022-00639-1

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

Shah S. O., Tunç C., Rizwan R., Zada A., Khan Q. U., Ullah I., ...Daha Fazla

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, cilt.21, sa.4, 2022 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 21 Sayı: 4
Basım Tarihi: 2022
Doi Numarası: 10.1007/s12346-022-00639-1
Dergi Adı: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
Anahtar Kelimeler: Bielecki-Ulam-Hyers stability, Impulses, Time scale, Dynamic system, ALMOST-PERIODIC SOLUTIONS, DIFFERENTIAL-EQUATIONS, EXISTENCE, MODEL, BOUNDEDNESS, UNIQUENESS
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.