On dichotomous behavior of variational difference equations and applications.
On diffeomorphic solutions of simultaneous Abel's equations
On difference equation with generalized dilation.
On difference equations and discrete systems
On difference linear periodic systems. I. Homogeneous case
The paper deals with the reduction of a linear homogeneous periodic system in differences (recurrence relations) to another linear homogeneous system with constant coefficients. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior, and to obtain all solutions in closed form.
On difference linear periodic systems II. Non-homogeneous case
This work deals with the reduction of a linear nonhomogeneous periodic system in differences (recurrence relations) to another linear non-homogeneous system with constant coefficients and an independent term. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior and to obtain all solutions in closed form.
On differentiable solutions of some systems of functional equations of p-th order
On differentiable solutions of the functional equation φ(f(x)) = g(x, φ(x)) for vector-valued functions
On discrete analogues of nonlinear implicit differential equations.
On distribution functions of ξ(3/2)ⁿ mod 1
On Existance Of Expansion Of A Complex Function
On existence of expansion of a complex function.
On exit laws for subordinated semigroups by means of -subordinators
We study the integral representation of potentials by exit laws in the framework of sub-Markovian semigroups of bounded operators acting on . We mainly investigate subordinated semigroups in the Bochner sense by means of -subordinators. By considering the one-sided stable subordinators, we deduce an integral representation for the original semigroup.
On expanding iteration semigroups of set-valued functions.
On exponential dichotomy of variational difference equations.
On Exponential Stability of Volterra Difference Equations with Infinite Delay
General nonlinear Volterra difference equations with infinite delay are considered. A new explicit criterion for global exponential stability is given. Furthermore, we present a stability bound for equations subject to nonlinear perturbations. Two examples are given to illustrate the results obtained.
On extending functions to solutions of some functional equations.
On extending functions to solutions of some functional equations. (Short Communications).
On Extending of Solutions of a Functional Equation. (Short Communication).
On Extending of Solutions of Functional Equations in a Single Variable