Lagrange stability in terms of two measures with initial time difference for set differential equations involving causal operators

Year 2023, Volume: 72 Issue: 1, 84 - 104, 30.03.2023

Coşkun Yakar , Hazm Talab

https://doi.org/10.31801/cfsuasmas.1059496

Abstract

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.

Keywords

Boundedness, causal operators, initial time difference, Lagrange stability, Lyapunov function, set differential equations, stability, two measures

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