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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 40 Issue: 2

THEORY, METHODS AND APPLICATIONS OF INITIAL TIME DIFFERENCE BOUNDEDNESS CRITERIA AND LAGRANGE STABILITY IN TERMS OF TWO MEASURES FOR NONLINEAR SYSTEMS

Coşkun Yakar
muhammed Çiçek
Pages
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Publication Date
2011-02-01
DOI
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AI Summary & Key Takeaways

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

We support our new results with analytic examples and numerical applications.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper investigates the initial time difference equi-boundedness criteria in terms of two measures, initial time difference boundedness and Lagrange Stability in terms of two measures.
📊
Key Findings & Data:These are unified with Lyapunov-like functions to establish a variational comparison result.
💡
Conclusion & Impact:We support our new results with analytic examples and numerical applications.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Initial time difference · Perturbed differential systems · Boundedness and Lagrange stability

Abstract

This paper investigates the initial time difference equi-boundedness criteria in terms of two measures, initial time difference boundedness and Lagrange Stability in terms of two measures. These are unified with Lyapunov-like functions to establish a variational comparison result. We support our new results with analytic examples and numerical applications.

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Cite This Article

Yakar, C., Çiçek, M. (2011). THEORY, METHODS AND APPLICATIONS OF INITIAL TIME DIFFERENCE BOUNDEDNESS CRITERIA AND LAGRANGE STABILITY IN TERMS OF TWO MEASURES FOR NONLINEAR SYSTEMS. Hacettepe Journal of Mathematics and Statistics, Volume: 40 Issue: 2. https://ajindex.com/articles/1403658

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