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

Coşkun Yakar; Hazm Talab

Makale detayları

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

Yazarlar:

Coşkun Yakar | Hazm Talab

Yayıncı:

Ankara University

Ana Başlıklar:

Applied Mathematics

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001284990

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 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.

Makale detayları

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

Yazarlar:

Coşkun Yakar | Hazm Talab

Yayıncı:

Ankara University

Ana Başlıklar:

Applied Mathematics

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001284990

pISSN:

1303-5991

Boundedness

causal operators

initial time difference

Lagrange stability

Lyapunov function

set differential equations

stability

two measures

Sayı

Makale detayları

Yazarlar: Coşkun Yakar | Hazm Talab

Yayıncı: Ankara University

Ana Başlıklar: Applied Mathematics

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

Belge Tipi: Makale

Yayın Tarihi: 3/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001284990

pISSN: 1303-5991

Sayı

Yazarlar:

Coşkun Yakar | Hazm Talab

Yayıncı:

Ankara University

Ana Başlıklar:

Applied Mathematics

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001284990

pISSN:

1303-5991