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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
As an application, we consider a diffusion neutral functional integrodifferential equation.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we study a class of neutral functional integrodifferential equations with finite delay in Banach spaces.
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Key Findings & Data:We are interested in the global existence, uniqueness of mild solutions with values in the Banach space and in its subspace $D(A).$ The results are based on Banach's and Schauder's fixed point theorems and on the technique of equivalent norms.
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Conclusion & Impact:As an application, we consider a diffusion neutral functional integrodifferential equation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Mild solution · functional integrodifferential equation · neutral equation
Abstract
In this paper, we study a class of neutral functional integrodifferential equations with finite delay in Banach spaces. We are interested in the global existence, uniqueness of mild solutions with values in the Banach space and in its subspace $D(A).$ The results are based on Banach's and Schauder's fixed point theorems and on the technique of equivalent norms. As an application, we consider a diffusion neutral functional integrodifferential equation.
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Cite This Article
KOUMLA, S., PRECUP, R., SENE, A. (2019). Existence results for some neutral functional integrodifferential equations with bounded delay. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1809–1822. https://ajindex.com/articles/208969