On a general Hyers-Ulam stability result.
On a general principle in geometry that leads to functional equations.
On a general solution of finite order difference equation with constant coefficients
In the present paper we give new formulas for a general solution of the linear difference equation of finite order with constant complex coefficients without necessity of solving the characteristic equation
On a generalization of Hille's functional equation
On a generalization of sum form functional equation (I).
The Shannon entropy has the sum form ∑f(pi) with f(x) = -x logx (x belonging to [0,1]). This together with the property of additivity leads to the 'sum' functional equation...
On a generalization of sum form functional equation - V.
On a Generalization of the Cauchy Equation.
On a generalization of the Cauchy functional equation.
On a generalization of the sum form functional equation. VI
On a generalized Dhombres functional equation. II.
We consider the functional equation where is a given increasing homeomorphism of an open interval and is an unknown continuous function. In a previous paper we proved that no continuous solution can cross the line where is a fixed point of , with a possible exception for . The range of any non-constant continuous solution is an interval whose end-points are fixed by and which contains in its interior no fixed point except for . We also gave a characterization of the class of continuous...
On a generalized directed-divergence function
On a generalized discrete ratio-dependent predator-prey system.
On a higher-order difference equation.
On a higher-order nonlinear difference equation.
On a joint generalization of Cauchy's and d'Alembert's functional equations.
On a -order system of Lyness-type difference equations.
On a linear functional equation.
On a linear functional equation of second order
On a linear functional equation with a mean-type mapping having no fixed points
Our aim is to study continuous solutions φ of the classical linear iterative equation φ(f(x,y)) = g(x,y)φ(x,y) + h(x,y), where the given function f is defined as a pair of means. We are interested in the case when f has no fixed points. In turns out that in such a case continuous solutions of (1) depend on an arbitrary function.
On a local form of Jensen's functional equation.