In this article, we introduce a class of the generalized mixed additive, quadratic and quartic functional equations and obtain their common solutions. We also investigate the stability of such modified functional equations in the non-Archimedean normed spaces by a fixed point method.

differential transform method has been applied to solve many functional equations so far. in this article, we have used this method to solve wave-like equations. differential transform method is capable of reducing the size of computational work. exact solutions can also be achieved by the known forms of the series solutions. some examples are prepared to show theefficiency and simplicity of th...

1 Basic Methods For Solving Functional Equations • Substituting the values for variables. The most common first attempt is with some constants (eg. 0 or 1), after that (if possible) some expressions which will make some part of the equation to become constant. For example if f (x + y) appears in the equations and if we have found f (0) then we plug y =−x. Substitutions become less obvious as th...

There are many ways to measure diversity: long controversy. Ideal: be able to say ‘If you want your diversity measure to have properties X, Y and Z, then it must be one of the following measures.’ Similar results have been proved for entropy, means and norms. This is a tiny part of the field of functional equations! One ulterior motive: for me to learn something about FEs. I’m not an expert, an...