On (1, bp)-replicative functions with isolated discontinuities.
On a class of fourth order linear recurrence equations.
On a class of fourth-order nonlinear difference equations.
On a criterion of uniqueness for periodic solutions of linear second order difference equations
On a discrete epidemic model.
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 higher-order difference equation.
On a higher-order nonlinear difference equation.
On a way of division of segments.
On almost polynomial functions
On an exponential-type fuzzy difference equation.
On an inequality of Kolmogorov type for a second-order difference expression.
On approximation of the solutions of delay differential equations by using piecewise constant arguments.
On certain comparison theorems for half-linear dynamic equations on time scales.
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 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 generalized difference equations
In this paper linear difference equations with several independent variables are considered, whose solutions are functions defined on sets of -dimensional vectors with integer coordinates. These equations could be called partial difference equations. Existence and uniqueness theorems for these equations are formulated and proved, and interconnections of such results with the theory of linear multidimensional digital systems are investigated. Numerous examples show essential differences of the results...