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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

Huynh Thı Hoang DUNG
Le Thı Phuong NGOC
Nguyen Thanh LONG
Pages
418–437
Publication Date
2020-03-01
DOI
—
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AI Summary & Key Takeaways

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

In order to illustrate the 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 in a general Banach space.
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Key Findings & Data:By applying fixed point theorems in a suitable Banach space under appropriate conditions for subsets to be relatively compact, we prove the existence and the compactness of the set of solutions.
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Conclusion & Impact:In order to illustrate the results, we give two examples
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Nonlinear integrodifferential equation in N variables · the Banach fixed point theorem · Schauder fixed point theorem

Abstract

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

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Cite This Article

DUNG, H. T. H., NGOC, L. T. P., LONG, N. T. (2020). 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/185535

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References (12)

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