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Dergiler / 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
Sayfa
418–437
Yayın Tarihi
2020-03-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In order to illustrate the results, we give two examples

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:In order to illustrate the results, we give two examples
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (12)

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