Published April 6, 2018 | Version v1
Journal article Open

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

Authors/Creators

  • 1. Department of Mathematics, University of Dhaka, Dhaka-1000.
  • 2. Department of Mathematics, Jessore University of Science & Technology, Jessore-7408.
  • 3. Department of General Educational Development, Daffodil International University, Dhaka-1000.
  • 4. Department of Computer Science and Engineering, Dhaka International University, Dhaka-1000.

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 . Our claim is also illustrated with the applications to respective examples for proving the existence results.

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