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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 9 Issue: 3

Variation of Parameters Representations and Lipschitz-Type Stability for Unperturbed Matrix Differential Systems with Initial Time Difference

Coşkun Yakar(GEBZE TEKNİK ÜNİVERSİTESİ)0000-0002-7759-7939
Dilara Karslıoğlu(Yeditepe University)0000-0001-7141-7346
Pages
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Publication Date
2026-09-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

To formulate Lipschitz-type stability criteria under the presence of an initial time shift in nonlinear differential systems, it is essential to employ the variational framework derived from the unperturbed matrix model.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we explore the connection between unperturbed matrix differential systems that exhibit variations in both their initial conditions and the starting time.
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Key Findings & Data:Through the application of variation of parameters methods, we construct integral representations that reveal this relationship.
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Conclusion & Impact:To formulate Lipschitz-type stability criteria under the presence of an initial time shift in nonlinear differential systems, it is essential to employ the variational framework derived from the unperturbed matrix model.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Differantial Equations · Lipschitz Stability · Variation of parameters

Abstract

In this study, we explore the connection between unperturbed matrix differential systems that exhibit variations in both their initial conditions and the starting time. Through the application of variation of parameters methods, we construct integral representations that reveal this relationship. To formulate Lipschitz-type stability criteria under the presence of an initial time shift in nonlinear differential systems, it is essential to employ the variational framework derived from the unperturbed matrix model.

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Cite This Article

Yakar, C., Karslıoğlu, D. (2026). Variation of Parameters Representations and Lipschitz-Type Stability for Unperturbed Matrix Differential Systems with Initial Time Difference. Fundamental Journal of Mathematics and Applications, Volume: 9 Issue: 3. https://doi.org/10.33401/fujma.1785134

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