Existence and uniqueness of bounded (on the whole axis) solutions of systems of nonlinear differential-difference equations of neutral type

The existence and uniqueness of the bounded (on the whole axis) solution of a certain class of systems of nonlinear differential-difference equations of neutral type are proved.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 3, pp. 390–394, March, 1991.     

Asymptotic Properties of Global Solutions of Systems of Functional Differential Equations of Neutral Type with Nonlinear Deviations of an Argument

For a system of functional differential equations of the neutral type with nonlinear deviations of an argument dependent on an unknown function, we establish sufficient conditions for the existence of a solution continuously differentiable and bounded for t and study its properties.     

On periodic solutions of nonlinear difference equations in the critical case

We establish conditions for the existence and uniqueness of a periodic solution of one nonlinear difference equation. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 2, pp. 304–308, February, 1998. This work was financially supported by the Foundation for Fundamental Research of the Ukrainian Committee for Science and Technology.     

On the Structure of the Set of Continuous Solutions of Systems of Nonlinear Functional Difference Equations

We study the structure of the set of solutions (continuous and bounded for t R ⁺) of one class of systems of nonlinear functional difference equations with a nonlinear deviation of the argument that depends on unknown functions.     

On periodic solutions of difference equations with continuous argument

We establish conditions for the existence of periodic solutions of systems of nonlinear difference equations with continuous argument.     

Asymptotic Behavior of the Solutions of a Functional-Differential Equation with Linearly Transformed Argument

Ukrainian Mathematical Journal - We establish new properties of the solutions of a functional-differential equation with linearly transformed argument.