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

Coşkun Yakar; Hazm Talab

Article Details

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

Authors:

Coşkun Yakar | Hazm Talab

Publisher:

Ankara University

Main Topics:

Applied Mathematics

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.84-104

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001284990

pISSN:

1303-5991

Keywords:

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.

 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.

 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.

 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.

Article Details

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

Authors:

Coşkun Yakar | Hazm Talab

Publisher:

Ankara University

Main Topics:

Applied Mathematics

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.84-104

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001284990

pISSN:

1303-5991

Boundedness

causal operators

initial time difference

Lagrange stability

Lyapunov function

set differential equations

stability

two measures

Issues

Article Details

Authors: Coşkun Yakar | Hazm Talab

Publisher: Ankara University

Main Topics: Applied Mathematics

Journal: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.84-104

Document Type: Article

Publication Date: 3/2023

Document Language: English

Document ID (Org No.): 2001284990

pISSN: 1303-5991

Issues

Authors:

Coşkun Yakar | Hazm Talab

Publisher:

Ankara University

Main Topics:

Applied Mathematics

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.84-104

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001284990

pISSN:

1303-5991