Browsing Ústav matematiky by Title
Now showing items 1-20 of 65
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Application of Stochastic Differential-Algebraic Equations in Hybrid MTL Systems Analysis
(Kaunas University of Technology, 2014-05-01)The paper deals with the application of stochastic differential-algebraic equations (SDAE) in the field of the time-domain simulation of hybrid (lumped/distributed) systems with randomly varying parameters. A core of the ... -
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 ... -
Atmospheric station Křešín u Pacova, Czech Republic – a Central European research infrastructure for studying greenhouse gases, aerosols and air quality
(Copernicus Publications, 2015-05-06)Long-lasting research infrastructures covering the research areas of atmospheric chemistry, meteorology and climatology are of highest importance. The Atmospheric station Křešín u Pacova, central Czech Republic, is focused ... -
Boundary Value Problems for Some Important Classes of Recurrent Relations with Two Independent Variables
(MDPI, 2017-12-20)It is shown that complex-valued boundary value problems for several classes of recurrent relations with two independent variables, of some considerable interest, are solvable on the so called combinatorial domain -
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)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 ... -
Boundedness character of a fourth-order system of difference equations
(Springer Nature, 2015-12-01)Sufficient conditions for boundedness character of solutions of a fourth-order system of difference equations is given. -
Characterization of uninorms on bounded lattices and pre-order they induce
(Atlantis Press, 2021-01-25)The authors introduced a pre-order induced by uninorms on bounded lattices. This contribution is devoted to a classification of families uninorms on bounded lattices of types of pre-orders (and orders) they induce. -
Conditional oscillation of half-linear Euler-type dynamic equations on time scales
(University of Szeged, 2015-02-18)We investigate second-order half-linear Euler-type dynamic equations on time scales with positive periodic coefficients. We show that these equations are conditionally oscillatory, i.e., there exists a sharp borderline (a ... -
Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^2
(Hindawi, 2017-06-12)Two-dimensional linear discrete systems $$ x(k+1)=Ax(k)+\sum\limits_{l=1}^{n}B_{l}x_{l}(k-m_{l}),\,\,\,k\ge 0 $$are analyzed, where $m_{1}, m_{2},\dots, m_{n}$ are constant integer delays, $0<m_{1}<m_{2}<\dots<m_{n}$, $A$, ... -
Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons
(MDPI, 2022-05-18)Infinite cyclic groups created by various objects belong to the class to the class basic algebraic structures. In this paper, we construct the infinite cyclic group of differential neurons which are modifications of ... -
Cyclicity in EL-hypergroups
(MDPI, 2018-11-07)In the algebra of single-valued structures, cyclicity is one of the fundamental properties of groups. Therefore, it is natural to study it also in the algebra of multivalued structures (algebraic hyperstructure theory). ... -
Differential Transform Algorithm for Functional Differential Equations with Time-Dependent Delays
(Hindawi, 2020-02-28)An algorithm using the differential transformation which is convenient for finding numerical solutions to initial value problems for functional differential equations is proposed in this paper. We focus on retarded equations ... -
Discrete matrix delayed exponential for two delays and its property
(Springer Nature, 2013-06-13)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 ... -
An efficient new perturbative Laplace method for space-time fractional telegraph equations
(Springer Nature, 2012-11-27)In this paper, we propose a new technique for solving space-time fractional telegraph equations. This method isbased on perturbation theory and the Laplace transformation. -
Elements of Hyperstructure Theory in UWSN Design and Data Aggregation
(MDPI, 2019-05-29)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 ... -
Evaluation of Responses in MTL Model Excited from Multiple Stochastic Sources
(International Science and Engineering Society, o.s., 2016-01-15)The paper presents a technique for simulation of stochastic responses and their statistical characteristics in multiconductor transmission lines (MTL). The method follows a theory of stochastic differential equations (SDE) ... -
Existence of solutions converging to zero for nonlinear delayed differential systems
(Springer, 2015-11-17)Je prezentován výsledek o asymptotickém chování dvourozměrného systému diferenciálních rovnic se zpožděním splňujícího jisté postačující podmínky. Jsou zobecněny předcházející výsledky, které byly dokázány užitím ... -
Explicit general solution of planar linear discrete systems with constant coefficients and weak delays
(Springer Nature, 2013-03-06)In this paper, planar linear discrete systems with constant coefficients and two delays $$ x(k+1)=Ax(k)+Bx(k-m)+Cx(k-n) $$ are considered where $k\in\bZ_0^{\infty}:=\{0,1,\dots,\infty\}$, $x\colon \bZ_0^{\infty}\to\mathbb{R}^2$, ... -
Exponential Stability of Linear Discrete Systems with Multiple Delays
(Hindawi, 2018-08-01)The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay $x\left( {k+1} \right)=Ax\left( k \right)+\sum_{i=1}^sB_ix\left( ...