The form of the Cauchy difference is generalized, and several characterizations are given for the function F:G×G→H with the difference representation F(x,y)=f(x+y)+f(x-y)-nf(x)-nf(y) , by means of systems of functional equations, wh.

With the two kinds of ducts as an example, the variation of cross sectional area and the functional equations are discussed in detail.

The basic elementary functions represented by functional equations were obtained by using the methods of solving ordinary differential equations and initial value probe.

A function equation related to the Smarandache function and its positive integer solutions;

According to the experimental research of Kelong four type representative split air conditioner indoor unit of distinctness structure obtains the a variation rule for air flow,noise and motor power with fan motor rotate speed of split air conditioner indoor unit,and fits the function equations,brings forward the simple optimum design method.

This paper investigates into the method for determining the times of multiple roots of the nonlinear function equation f(x)=0, revising and supplementing the former conclusions,and obtains some more precise results.

Solutions to a class of functional equations;

More notes on a functional equation;

On a class of linear functional equations for functions of several variables;