A Class of Continuous Solutions of a Fourth Order Polynomial-like Iterative Equation

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Published: Jan 25, 2021
Keywords:
polynomial-like iterative equation; continuous solution; characteristic root

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Supharerg Thangroongvongthana*
Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand
Vichian Laohakosol
Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok, Thailand
Sukrawan Mavecha
Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand

Abstract

Using the so-called characteristic method, continuous solutions of the fourth order polynomial-like iterative equation


gif.latex?f^{4}(x)+a_{3}f^{3}(x)+a_{2}f^{2}(x)+a_{1}f(x)+a_{0}x&space;=&space;0


were determined subject to certain natural conditions on its characteristic roots. The result so obtained complements earlier work in the cases of second and third order equations.


 
Keywords: polynomial-like iterative equation; continuous solution; characteristic root    

Corresponding author: Tel.: +66 838214391


                                           E-mail: supharerg@gmail.com

Article Details

Issue
Vol. 21 No. 3 (2021)
Section
Original Research Articles

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References

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