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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 2

The existence and compactness of the set of solutions for a nonlinear integrodifferential equation in N variables in a Banach space

Le Thi Phuong NGOC
Huynh Thi Hoang DUNG
Nguyen Thanh LONG
Pages
418–437
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

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

In order to illustratethe results, we give two examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The paper is devoted to the study of a nonlinear integrodifferential equation in N variables with values ina general Banach space.
📊
Key Findings & Data:By applying fixed point theorems in a suitable Banach space under appropriate conditions forsubsets to be relatively compact, we prove the existence and the compactness of the set of solutions.
💡
Conclusion & Impact:In order to illustratethe results, we give two examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The paper is devoted to the study of a nonlinear integrodifferential equation in N variables with values ina general Banach space. By applying fixed point theorems in a suitable Banach space under appropriate conditions forsubsets to be relatively compact, we prove the existence and the compactness of the set of solutions. In order to illustratethe results, we give two examples.

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Cite This Article

NGOC, L. T. P., DUNG, H. T. H., LONG, N. T. (2022). The existence and compactness of the set of solutions for a nonlinear integrodifferential equation in N variables in a Banach space. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 2, 418–437. https://ajindex.com/articles/607545

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References (12)

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