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
Primary Language | English |
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Subjects | Applied Mathematics |
Journal Section | Research Articles |
Authors | |
Publication Date | March 30, 2023 |
Submission Date | January 18, 2022 |
Acceptance Date | July 25, 2022 |
Published in Issue | Year 2023 Volume: 72 Issue: 1 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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