| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842671 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 12 Pages |
Abstract
We study the conditional functional equation: γ(x+y)=γ(x−y)⇒f(x+y)=f(x)f(y), with a given function γγ; if γγ is a norm in a real linear space, then the equation becomes the well-known isosceles orthogonally exponential functional equation. We give the descriptions of its solutions and investigate the stability of it. We also consider the pexiderized version of the equation.
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Authors
Janusz Brzdęk, Justyna Sikorska,