Browsing Ústav matematiky by Title
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Lower and upper estimates of solutions to systems of delay dynamic equations on time scales
(Springer, 20131127)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, 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 ... 
The role of Campylobacter spp. in chronic enteropathy in dogs
(20191031)The aim of the study is to identify Campylobacter species in a group of patients with chronic gastrointestinal problems and to investigate the relationship between the presence of Campylobacter spp. in stool samples and ... 
Series of Semihypergroups of TimeVarying Articial Neurons and Related Hyperstructures
(MDPI, 20190717)Detailed analysis of the function of multilayer perceptron (MLP) and its neurons together with the use of timevarying neurons allowed the authors to find an analogy with the use of structures of linear differential ... 
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.