Ústav matematiky a deskriptivní geometrie
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Modeling of applied problems by stochastic systems and their analysis using the moment equations
(Springer Nature, 20131009)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 ... 
Explicit general solution of planar linear discrete systems with constant coefficients and weak delays
(Springer Nature, 20130306)In this paper, planar linear discrete systems with constant coefficients and two delays $$ x(k+1)=Ax(k)+Bx(km)+Cx(kn) $$ are considered where $k\in\bZ_0^{\infty}:=\{0,1,\dots,\infty\}$, $x\colon \bZ_0^{\infty}\to\mathbb{R}^2$, ... 
On a delay population model with quadratic nonlinearity
(Springer Nature, 20121228)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 ... 
An efficient new perturbative Laplace method for spacetime fractional telegraph equations
(Springer Nature, 20121127)In this paper, we propose a new technique for solving spacetime fractional telegraph equations. This method isbased on perturbation theory and the Laplace transformation. 
Discrete matrix delayed exponential for two delays and its property
(Springer Nature, 20130613)In recent papers, a discrete matrix delayed exponential for a single delay was defined and its main property connected with the solution of linear discrete systems with a single delay was proved. In the present paper, a ... 
Stabilization of Luretype Nonlinear Control Systems by LyapunovKrasovskii Functionals
(Springer Nature, 20121024)The paper deals with the stabilization problem of Luretype nonlinear indirect control systems with timedelay argument. The sufficient conditions for absolute stability of the control system are established in the form ... 
Bounded solutions of delay dynamic equations on time scales
(Springer Nature, 20121024)In this paper we discuss the asymptotic behavior of solutions of a delay dynamic equation $$y^{\Delta}(t)=f(t,y(\tau(t)))$$ where $f\colon\mathbb{T}\times\mathbb{R}\rightarrow\mathbb{R}$, \tau\colon\T\rightarrow \T$ is a ... 
Stabilization of company’s income modeled by a system of discrete stochastic equations
(Springer Nature, 20141115)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 ... 
Bounded and unbounded nonoscillatory solutions of a fourdimensional nonlinear neutral difference system
(Springer Nature, 20151015)The paper is concerned with a fourdimensional nonlinear difference system with delayed arguments where the first equation of the system is of a neutral type. A classification of nonoscillatory solutions is given and ... 
Exponential stability of perturbed linear discrete systems
(Springer, 20160129)The paper considers the problem of exponential stability and convergence rate to solutions of perturbed linear discrete homogeneous systems. New criteria on exponential stability are derived by using the second method of ... 
Automorphisms of Ordinary Differential Equations
(Hindawi Publishing Corporation, 20140129)The paper deals with the local theory of internal symmetries of underdetermined systems of ordinary differential equations in full generality. The symmetries need not preserve the choice of the independent variable, the ... 
Asymptotic convergence of the solutions of a dynamic equation on discrete time scales
(Hindawi, 20120103)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 ... 
Experimental Increase in the Efficiency of a Cooling Circuit Using a Desuperheater
(Budapest University of Technology and Economics, 20160502)Waste heat from cooling circuits can be a useful source of energy for other applications, such as domestic hot water heaters. Furthermore, by removing waste heat from the cooling circuit, its effectiveness can theoretically ... 
Flexure response of thermal loaded concrete specimens by acoustic emission method
(EDP Sciences – Web of Conferences, 20170524)The response to fire of concrete structural members depends on the thermal, mechanical, and deformation properties of concrete. These properties vary significantly with temperature depending on the composition and ... 
Using acoustic emission methods to monitor cement composites during setting and hardening
(MDPI AG, 20170428)Cementbased composites belong among the basic building materials used in civil engineering. Their properties are given not only by their composition but also by their behaviour after mixing as well as by the methods of ...