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

Authors : Coşkun YAKAR, Hazm TALAB

Pages : 84-104

Doi:10.31801/cfsuasmas.1059496

View : 19 | Download : 9

Publication Date : 2023-03-30

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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