Yoneyama's 3/2 test for the asymptotic stability of delay dynamic equations
INTERNATIONAL JOURNAL OF CONTROL, cilt.98, sa.5, ss.1024-1031, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 98 Sayı: 5
- Basım Tarihi: 2025
- Doi Numarası: 10.1080/00207179.2024.2380024
- Dergi Adı: INTERNATIONAL JOURNAL OF CONTROL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1024-1031
- Anahtar Kelimeler: Delay dynamic equations, uniformly stability, global attractivity, globally asymptotically stable
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
We consider the linear delay dynamic equation (*) $$\begin{equation*} x<^>{\Delta}(t)+p(t)x (\tau(t))=0\quad{\rm for}\ t\in[t_{0},\infty)_{\mathbb{T}}. \end{equation*}$$x Delta(t)+p(t)x(tau(t))=0fort is an element of[t0,infinity)T. We enhanced the results in Wu and Zhou [2007. Stability for first order delay dynamic equations on time scales. Computers and Mathematics with Applications, 53(12), 1820-1831] by removing the boundedness criterion from the delay and graininess functions to cover the result in Zhang et al. [1999. Global attractivity of difference equations with variable delay. Dynamics of Continuous, Discrete and Impulsive Systems, 6(3), 307-317]. Furthermore, we have defined new functions that will assist us in proving our main results. We have presented some examples that illustrate the essence of our results in this work.