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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
It is also shown that every oscillatory solution of the corresponding difference equation has semi-cycles of length at least two.
📌 3 Key Takeaways
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Objective & Hypothesis:This paper is devoted to investigating the asymptotic stability of the equilibrium point of the Lasota-Wazewska model with a piecewise constant argument and it is proved that this point is an attractor.
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Key Findings & Data:This paper is devoted to investigating the asymptotic stability of the equilibrium point of the Lasota-Wazewska model with a piecewise constant argument and it is proved that this point is an attractor.
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Conclusion & Impact:It is also shown that every oscillatory solution of the corresponding difference equation has semi-cycles of length at least two.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Lasota-Wazewska model · piecewise constant argument · asymptotic stability
Abstract
This paper is devoted to investigating the asymptotic stability of the equilibrium point of the Lasota-Wazewska model with a piecewise constant argument and it is proved that this point is an attractor. It is also shown that every oscillatory solution of the corresponding difference equation has semi-cycles of length at least two.
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Cite This Article
Oztepe, G. S. (2022). An investigation on the Lasota-Wazewska model with a piecewise constant argument. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 5, 1500–1508. https://ajindex.com/articles/529504