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NUMERICAL OLUTIONS OF FUNCTIONAL EQUATION SYSTEM

Nguyen Kim Khoi 1
Nguyen Hoi Nghia 2
Volume & Issue: Vol. 3 No. 7&8 (2000) | Page No.: 25-31 | DOI: 10.32508/stdj.v3i7&8.3576
Published: 2000-08-31

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

We consider the system of linear functional equations ∑_(j=1)^n▒a_iJ f_i (A_iJ (x))=g_i (x),x  I  R,1  i  n (1) where I is a bounded or unbounded interval, g_i : I → R, A_iJ ∶ I → I, 1  i , j  n are the given continuous functions. We prove the existence and uniqueness of solution of the system (1) . Numerical results are given.

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