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A SYSTEM OF FUNCTIONAL EQUATIONS SATISFIED BY COMPONENTS OF A QUADRATIC FUNCTION AND ITS STABILITY

Published online by Cambridge University Press:  27 February 2019

KANET PONPETCH*
Affiliation:
Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand email kanet.bkp@gmail.com
VICHIAN LAOHAKOSOL
Affiliation:
Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand email fscivil@ku.ac.th
SUKRAWAN MAVECHA
Affiliation:
Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand email sukrawan.ta@kmitl.ac.th
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Abstract

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A system of functional equations satisfied by the components of a quadratic function is derived via their corresponding circulant matrix. Given such a system of functional equations, general solutions are determined and a stability result for such a system is established.

Type
Research Article
Copyright
© 2019 Australian Mathematical Publishing Association Inc. 

References

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