Now showing items 1-19 of 19

• #### Asymptotic convergence of the solutions of a dynamic equation on discrete time scales ﻿

(Hindawi, 2012-01-03)
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 ...
• #### Bounded and unbounded non-oscillatory solutions of a four-dimensional nonlinear neutral difference system ﻿

(Springer Nature, 2015-10-15)
V článku je studován jistý 4-dimenzionální nelineární diferenční systém se zpožděním ve kterém je první rovnice rovnicí neutrálního typu. Je dána klasifikace řešení a jsou dokázány výsledky o jejich ohraničenosti či ...
• #### Bounded solutions of delay dynamic equations on time scales ﻿

(Springer Nature, 2012-10-24)
• #### Exponential stability of perturbed linear discrete systems ﻿

(Springer, 2016-01-29)
V člá nku je studována exponenciální stabilita a konvergence řešení homogenní perturbované soustavy lineárních diskrétních systémů. Nová kritéria exponenciální stability jsou odvozena pomocí druhé metody Ljapunova. Jsou ...
• #### General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions ﻿

(Hindawi, 2014-04-29)
Planar linear discrete systems with constant coefficients and delays are considered. It is assumed that the considered system is weakly delayed. The characteristic equations of such systems are identical with those for the ...
• #### Lower and upper estimates of solutions to systems of delay dynamic equations on time scales ﻿

(Springer, 2013-11-27)
In this paper we study a system of delay dynamic equations on the time scale $\T$ of the form $$y^{\Delta}(t)=f(t,y_{\tau}(t)),$$ where $f\colon\mathbb{T}\times\mathbb{R}^n\rightarrow\mathbb{R}^n$, \$y_\tau(t)=(y_1(\tau_ ...
• #### 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 ...
• #### On a delay population model with quadratic nonlinearity ﻿

(Springer Nature, 2012-12-28)
In this paper, a nonlinear delay differential equation with quadratic nonlinearity is investigated. It is proved that the positive equilibrium is globally asymptotically stable without any further limitations on parameters ...
• #### Representation of a solution of the Cauchy problem for an oscillating system with multiple delays and pairwise permutable matrices ﻿

(Hindawi, 2013-05-01)
Nonhomogeneous system of linear differential equations of second order with multiple different delays and pairwise permutable matrices defining the linear parts is considered. Solution of corresponding initial value problem ...
• #### Representation of the solutions of linear discrete systems with constant coefficients and two delays ﻿

(Hindawi, 2014-05-13)
Cílem článku je vytvořit metodu konstrukce řešení počátečních úloh pro lineární diskrétní systémy s konstantními koeficienty a dvěma zpožděními. Řešení jsou vyjádřena pomocí speciální funkce zvané diskrétní zpožděná maticová ...
• #### Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations ﻿

(Hindawi, 2013-12-09)
The paper is devoted to the study of the solvability of a singular initial value problem for systems of ordinary differential equations. The main results give sufficient conditions for the existence of solutions in the ...
• #### 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 ...
• #### Stabilization of cycles for difference equations with a noisy PF control ﻿

(Elsevier, 2020-02-21)
Difference equations, such as a Ricker map, for an increased value of the parameter, experience instability of the positive equilibrium and transition to deterministic chaos. To achieve stabilization, various methods can ...
• #### 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 ...