In this paper, we investigate generalized variational comparison results aimed to study the stability properties in terms of two measures for solutions of Set Differential Equations (SDEs) involving causal operators, taking into consideration the difference in initial conditions. Next, we employ these comparison results in proving the theorems that give sufficient conditions for equi-boundedness, equi-attractiveness in the large, and Lagrange stability in terms of two measures with initial time difference for the solutions of perturbed SDEs involving causal operators in regard to their unperturbed ones.
Boundedness causal operators initial time difference Lagrange stability Lyapunov function set differential equations stability two measures
Birincil Dil | İngilizce |
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Konular | Uygulamalı Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 30 Mart 2023 |
Gönderilme Tarihi | 18 Ocak 2022 |
Kabul Tarihi | 25 Temmuz 2022 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 72 Sayı: 1 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.