Browsing Ústav matematiky by Title
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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. 
Elements of Hyperstructure Theory in UWSN Design and Data Aggregation
(MDPI, 20190529)In our paper we discuss how elements of algebraic hyperstructure theory can be used in the context of underwater wireless sensor networks (UWSN). We present a mathematical model which makes use of the fact that when deploying ... 
Existence of solutions converging to zero for nonlinear delayed differential systems
(Springer, 20151117)We present a result about an interesting asymptotic property of real twodimensional delayed differential systems satisfying certain sufficient conditions. We employ two previous results, which were obtained using a ... 
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 $k\in\bZ_0^{\infty}:=\{0,1,\dots,\infty\}$, $x\colon \bZ_0^{\infty}\to\mathbb{R}^2$, ... 
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 ... 
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 ... 
Modelling precipitation extremes in the Czech Republic: Update of intensitydurationfrequency curves
(Estonian Academy Publishers, 20161220)Precipitation records from six stations of the Czech Hydrometeorological Institute were subject to statistical analysis with the objectives of updating the IntensityDurationFrequency (IDF) curves, by applying extreme ... 
NewtonKantorovich convergence theorem of a new modified Halleys method family in a Banach space
(Springer, 20131112)A NewtonKantorovich convergence theorem of a new modified Halleys method family is established in a Banach space to solve nonlinear operator equations 
On a close to symmetric system of difference equations of second order
(Springer Nature, 20151229)Closed form formulas of the solutions to the system of difference equations of the second order are found. The domain of undefinable solutions to the system is described. 
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 ... 
On a producttype system of difference equations of second order solvable in closed form
(BioMed Central, 20151012)Sufficient conditions for solving a system of difference equations of second order in closed form are given. Moreover, sufficient conditions for existence of periodic solutions and asymptotic stability of solutions are ... 
Singular Initial Value Problem for a System of IntegroDifferential Equations
(Hindawi, 20121212)Analytical properties like existence, uniqueness, and asymptotic behavior of solutions are studied for the singular initial value problem. An approach which combines topological method of T. Wazewski and Schauders fixed ... 
Solving certain classes of LaneEmden type equations using differential transformation method
(Springer Nature, 20121005)In this paper, differential transformation method (DTM) is applied to solve singular initial problems represented by certain classes of LaneEmden type equations. Some new differential tranformation formulas for certain ... 
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 ... 
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 ... 
Twodimensional producttype system of difference equations solvable in closed form
(Springer Nature, 20161003)A solvable twodimensional producttype system of difference equations of interest is presented. Closed form formulas for its general solution are given.