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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Examples illustrate the obtained results.
📌 3 Key Takeaways
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Objective & Hypothesis:This paper is concerned with the asymptotic property of the solution of a system of the linear Volterra difference equations.
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Key Findings & Data:The criterion for the existence of a solution of the considered system that is asymptotically equivalent to a given sequence is established. %The results generalize some recent results.
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Conclusion & Impact:Examples illustrate the obtained results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Linear Volterra difference equation · asymptotic equivalence
Abstract
This paper is concerned with the asymptotic property of the solution of a system of the linear Volterra difference equations. The criterion for the existence of a solution of the considered system that is asymptotically equivalent to a given sequence is established. %The results generalize some recent results. The results presented here improve and generalize the results published by Diblik et al. Unlike in those works, here periodicity of the nonhomogeneous term of the equation is not assumed. Examples illustrate the obtained results.
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Cite This Article
SCHMEIDEL, E., ZDANOWICZ, M. (2018). On the asymptotic behavior of solution of certain systems of Volterra equations. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 2994–3001. https://ajindex.com/articles/220599