Browsing Ústav matematiky a deskriptivní geometrie by Title
Now showing items 1-20 of 38
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Analysis of temperature degraded concrete at high temperature by applying of non-linear characteristics
(IOP Publishing, 2018-07-12)Concrete structures are commonly exposed to thermal loads as a result of the structure, ambient conditions, the heat of hydration, or exposure to fire. Therefore, there has been a growing interest in the research of advanced ... -
Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type
(De Gruyter, 2023-10-06)The article investigates a second-order nonlinear difference equation of Emden-Fowler type. New conditions with respect to parameters of equation are found such that the equation admits a solution asymptotically represented ... -
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 ... -
Automorphisms of Ordinary Differential Equations
(Hindawi Publishing Corporation, 2014-01-29)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 ... -
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 ... -
Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m-Ricci-Symmetric Spaces
(MDPI, 2021-03-22)In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces, generalized 3-Ricci-symmetric spaces, and generalized m-Ricci-symmetric spaces. ... -
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, $0<m_{1}<m_{2}<\dots<m_{n}$, $A$, ... -
Conformal and Geodesic Mappings onto Some Special Spaces
(MDPI, 2019-07-25)In this paper, we consider conformal mappings of Riemannian spaces onto Ricci-2-symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci-2-symmetric spaces. The main equations for the ... -
Crack growth modelling in cementitious composites using XFEM
(Elsevier, 2023-01-18)The article focuses on modelling origin damage to heterogeneous materials, especial-ly to the issue of modelling the formation and propagation of cracks in fibre cementitious compo-sites, which leads to total degradation ... -
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 ... -
A dynamical system with random parameters as a mathematical model of real phenomena
(MDPI, 2019-10-30)In many cases, it is difcult to nd a solution to a system of difference equations with random structure in a closed form. Thus, a random process, which is the solution to such a system, can be described in another way, for ... -
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. -
Experimental Increase in the Efficiency of a Cooling Circuit Using a Desuperheater
(Budapest University of Technology and Economics, 2016-05-02)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 ... -
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 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 ... -
Flexure response of thermal loaded concrete specimens by acoustic emission method
(EDP Sciences – Web of Conferences, 2017-05-24)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 ... -
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 ... -
Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and Ricci-Symmetric Spaces
(MDPI, 2020-09-01)In the paper, we consider geodesic mappings of spaces with an affine connections onto generalized symmetric and Ricci-symmetric spaces. In particular, we studied in detail geodesic mappings of spaces with an affine connections ... -
Geodesic mappings onto generalized m-Ricci-symmetric spaces
(MDPI, 2022-06-21)In this paper, we study geodesic mappings of spaces with affine connections onto generalized 2-, 3-, and m-Ricci-symmetric spaces. In either case, the main equations for the mappings are obtained as a closed system of ...