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Abstract

We consider the system of linear functional equations (1) f_i (x)= ∑_(k=1)^m▒[aik f_1 (Aik (x))+ bik f_2 (Bik (x))]+gi(x),x  I  R, i =1,2 where I is a bounded or unbounded interval, g_i : I → R, Aik, Bik : I  I, 1  k  m, i = 1,2 are given continuous functions. We prove the existence and uniqueness of solution of the sytem (1). Numerical results are given.



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Issue: Vol 3 No 7&8 (2000)
Page No.: 18-24
Published: Aug 31, 2000
Section: Article
DOI: https://doi.org/10.32508/stdj.v3i7&8.3575

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Copyright: The Authors. This is an open access article distributed under the terms of the Creative Commons Attribution License CC-BY 4.0., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 How to Cite
Hoi Nghia, N., & Kim Khoi, N. (2000). ON A LINEAR FUNCTIONAL EQUATION SYSTEM. Science and Technology Development Journal, 3(7&8), 18-24. https://doi.org/https://doi.org/10.32508/stdj.v3i7&8.3575

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