solution of several functional equations on nonunital semigroups using wilson’s functional equations with involution
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2014
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Abstract
Let S be a nonunital commutative semigroup, σ:S→S an involution, and C the
set of complex numbers. In this paper, first we determine the general solutions f,g:S→C of
Wilson’s generalizations of d’Alembert’s functional equations fx+y+fx+σy=2f(x)g(y)
and fx+y+fx+σy=2g(x)f(y) on nonunital commutative semigroups, and then using
the solutions of these equations we solve a number of other functional equations on more general
domains.
| Reference Key |
chung2014abstractsolution
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|---|---|
| Authors | ;Jaeyoung Chung;Prasanna K. Sahoo |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/463918
|
| URL | |
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