Practical Stability in Terms of Two Measures with Initial Time Difference for Set Differential Equations involving Causal Operators

Year 2022, Volume: 10 Issue: 1, 149 - 158, 15.04.2022

Coşkun Yakar , Hazm Talab

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 practical stability in terms of two measures
with initial time difference (ITD) for the solutions of perturbed SDEs involving causal operators in regard to their unperturbed ones.

Keywords

Causal Operators; Initial Time Difference; Lyapunov function; Practical Stability; Set Differential Equations; Two Measures, Causal Operators; Initial Time Difference, Lyapunov function, Practical Stability, Set Differential Equations, Two Measures

Supporting Institution

Gebze Technical University, Yeditepe University

Thanks

I would like to thank to Gebze Technical University, Yeditepe University and TÜBİTAK.

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