On stability of a functional equation connected with the Reynolds operator.
On stability of additive mappings.
On stability of the Cauchy equation on semigroups.
On stability zones for discrete-time periodic linear Hamiltonian systems.
On subaddidive and Ψ-additive mappings
On subadditive functions and ψ-additive mappings
In [4], assuming among others subadditivity and submultiplicavity of a function ψ: [0, ∞)→[0, ∞), the authors proved a Hyers-Ulam type stability theorem for “ψ-additive” mappings of a normed space into a normed space. In this note we show that the assumed conditions of the function ψ imply that ψ=0 and, consequently, every “ψ-additive” mapping must be additive
On sums of dependent uniformly distributed random variables.
We study and solve several functional equations which yield necessary and sufficient conditions for the sum of two uniformly distributed random variables to be uniformly distributed.
On systems of linear functional equations.
On Tabor's problem concerning a certain quasi-ordering of iterative roots of functions.
On the abstract Hahn-Banach theorem due to Rodé.
On the Aleksandrov-Rassias problem and the Hyers-Ulam-Rassias stability problem.
On the algebraic difference equations in , related to a family of elliptic quartics in the plane.
On the appearance of primes in linear recursive sequences.
On the asymptotic behavior of a difference equation with maximum.
On the asymptotic behavior of solutions of linear difference equations.
In the paper sufficient conditions for the difference equation :Δxn = Σi=0r an(i) xn+ito have a solution which tends to a constant, are given. Applying these conditions, an asymptotic formula for a solution of an m-th order equation is presented.
On the asymptotic behaviour of solutions of difference equations
On the asymptotic behaviour of the solutions of an n-th order difference equation
On the asymptotic integration of nonlinear dynamic equations.
On the asymptotically periodic solution of some linear difference equations
For the linear difference equation sufficient conditions for the existence of an asymptotically periodic solutions are given.
On the asymptoticity aspect of Hyers-Ulam stability of quadratic mappings.