Published March 31, 2018 | Version v1
Publication Open

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO SYSTEM OF LINEAR EQUATIONS AND INTEGRAL EQUATIONS USING BANACH FIXED-POINT THEOREM.

Creators

  • 1. University of Dhaka
  • 2. Jessore University of Science and Technology
  • 3. Daffodil International University
  • 4. Dhaka International University

Description

In this paper, using Banach fixed-point theorem, we study the existence and uniqueness of solution for a system of linear equations.Further, we prove the existence and uniqueness of the continuous solutions of linear and non-linear Fredholm integral equations over the Banach space 2 [ , ] L a b .Our claim is also illustrated with the applications to respective examples for proving the existence results.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

في هذه الورقة، باستخدام نظرية النقطة الثابتة لبنك، ندرس وجود وتفرد الحل لنظام المعادلات الخطية. علاوة على ذلك، نثبت وجود وتفرد الحلول المستمرة لمعادلات فريدهولم المتكاملة الخطية وغير الخطية على مساحة بنك 2 [ ، ] L a b. كما يتم توضيح مطالبتنا أيضًا من خلال التطبيقات على الأمثلة ذات الصلة لإثبات نتائج الوجود.

Translated Description (English)

In this paper, using Banach fixed-point theorem, we study the existence and uniqueness of solution for a system of linear equations.Furthermore, we prove the existence and uniqueness of the continuous solutions of linear and non-linear Fredholm integral equations over the Banach space 2 [ , ] L a b .Our claim is also illustrated with the applications to respective examples for proving the existence results.

Translated Description (French)

In this paper, using Banach fixed-point theorem, we study the existence and uniqueness of solution for a system of linear equations.Further, we prove the existence and uniqueness of the continuous solutions of linear and non-linear Fredholm integral equations over the Banach space 2 [ , ] L a b .Our claim is also illustrated with the applications to respective examples for proving the existence results.

Translated Description (Spanish)

In this paper, using Banach fixed-point theorem, we study the existence and uniqueness of solution for a system of linear equations. Further, we prove the existence and uniqueness of the continuous solutions of linear and non-linear Fredholm integral equations over the Banach space 2 [ , ] L a b .Our claim is also illustrated with the applications to respective examples for proving the existence results.

Files

70_IJAR-22519.pdf.pdf

Files (578.8 kB)

⚠️ Please wait a few minutes before your translated files are ready ⚠️ Note: Some files might be protected thus translations might not work.
Name Size Download all
md5:cd4ade1a9b091a64c53620f1097b749e
578.8 kB
Preview Download

Additional details

Additional titles

Translated title (Arabic)
وجود وتفرد حلول لنظام المعادلات الخطية والمعادلات التكاملية باستخدام نظرية النقطة الثابتة لبنك.
Translated title (English)
EXISTENCE AND UNIQUENESS OF SOLUTIONS TO SYSTEM OF LINEAR EQUATIONS AND INTEGRAL EQUATIONS USING BANACH FIXED-POINT THEOREM.
Translated title (French)
EXISTENCE AND UNIQUENESS OF SOLUTIONS TO SYSTEM OF LINEAR EQUATIONS AND INTEGRAL EQUATIONS USING BANACH FIXED-POINT THEOREM.
Translated title (Spanish)
EXISTENCE AND UNIQUENESS OF SOLUTIONS TO SYSTEM OF LINEAR EQUATIONS AND INTEGRAL EQUATIONS USING BANACH FIXED POINT THEOREM.

Identifiers

Other
https://openalex.org/W2799890468
DOI
10.21474/ijar01/6697

Is supplement to
https://openalex.org/W9637908 (Other)
https://openalex.org/W4362726482 (Other)
https://openalex.org/W3162778528 (Other)
https://openalex.org/W3157247533 (Other)
https://openalex.org/W2593459159 (Other)
https://openalex.org/W2393749796 (Other)
https://openalex.org/W2381171336 (Other)
https://openalex.org/W2316450462 (Other)
https://openalex.org/W2110318194 (Other)
https://openalex.org/W1534360840 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Bangladesh