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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 72 Issue: 1

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

Coşkun Yakar(Gebze Technical University)0000-0002-7759-7939
Hazm Talab(Gebze Technical University)0000-0003-1753-2823
Pages
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Publication Date
2023-03-30
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Boundedness · causal operators · initial time difference

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.

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Cite This Article

Yakar, C., Talab, H. (2023). Lagrange stability in terms of two measures with initial time difference for set differential equations involving causal operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 72 Issue: 1. https://doi.org/10.31801/cfsuasmas.1059496

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