Now showing items 1-5 of 5
Asymptotic convergence of the solutions of a dynamic equation on discrete time scales
It is proved that, for the asymptotic convergence of all solutions, the existence of an increasing and asymptotically convergent solution is sufficient. Therefore, the main attention is paid to the criteria for the existence ...
Stabilization of Lure-type Nonlinear Control Systems by Lyapunov-Krasovskii Functionals
(Springer Nature, 2012-10-24)
The paper deals with the stabilization problem of Lure-type nonlinear indirect control systems with time-delay argument. The sufficient conditions for absolute stability of the control system are established in the form ...
Modeling of applied problems by stochastic systems and their analysis using the moment equations
(Springer Nature, 2013-10-09)
The paper deals with systems of linear differential equations with coefficients depending on the Markov process. Equations for particular density and the moment equations for given systems are derived and used in the ...
Bounded and unbounded non-oscillatory solutions of a four-dimensional nonlinear neutral difference system
(Springer Nature, 2015-10-15)
The paper is concerned with a four-dimensional nonlinear difference system with delayed arguments where the first equation of the system is of a neutral type. A classification of non-oscillatory solutions is given and ...
Stabilization of company’s income modeled by a system of discrete stochastic equations
(Springer Nature, 2014-11-15)
The paper deals with a system of difference equations where the coefficients depend on Markov chains. The functional equations for a particular density and the moment equations for the system are derived and used in the ...