Ústav matematiky a deskriptivní geometrie
Browse by
Recent Submissions

Asymptotic behavior of solutions of a secondorder nonlinear discrete equation of EmdenFowler type
(De Gruyter, 20231006)The article investigates a secondorder nonlinear difference equation of EmdenFowler type. New conditions with respect to parameters of equation are found such that the equation admits a solution asymptotically represented ... 
Micromechanical aspects of the effect of temperature and local plastic strain magnitude on the fracture tughness of ferrite steels
(Elsevier, 20230118)The paper shows that the influence of plastic strain and temperature on the rate of crack nuclei (CN) formation is a crucial factor controlling the shape of the temperature dependence of fracture toughness and its scatter ... 
Crack growth modelling in cementitious composites using XFEM
(Elsevier, 20230118)The article focuses on modelling origin damage to heterogeneous materials, especially to the issue of modelling the formation and propagation of cracks in fibre cementitious composites, which leads to total degradation ... 
On a computational stressbased nonlocal damage model for quasibrittle composites
(Elsevier, 20230118)Numerical models for the stress and strain analysis of quasibrittle composites, such as cementbased ones, supplied by various stiffening particles, under mechanical, thermal, etc. loads should handle i) the creation of ... 
Geodesic mappings onto generalized mRiccisymmetric spaces
(MDPI, 20220621)In this paper, we study geodesic mappings of spaces with affine connections onto generalized 2, 3, and mRiccisymmetric spaces. In either case, the main equations for the mappings are obtained as a closed system of ... 
Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized mRicciSymmetric Spaces
(MDPI, 20210322)In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2Riccisymmetric spaces, generalized 3Riccisymmetric spaces, and generalized mRiccisymmetric spaces. ... 
Incorporation of temperature and plastic strain effects into local approach to fracture
(MDPI, 20211015)An unjustified simplification of the local quantitative criterion regarding cleavage nucleation is a key problem in the utilisation of the Local Approach to Fracture (LA), particularly to predict the fracture toughness ... 
Lower and upper estimates of semiglobal and global solutions to mixedtype functional differential equations
(De Gruyter, 20220214)In the paper, nonlinear systems of mixedtype functional differential equations are analyzed and the existence of semiglobal and global solutions is proved. In proofs, the monotone iterative technique and SchauderTychonov ... 
On a computational approach to micro and macromodelling of damage in brittle and quasibrittle materials
(NAUN, 20201020)Computational modelling of damage in brittle and quasibrittle materials needs some coupling between micro and macroscopic crack initiation and evolution, up to their nonnegligible softening behaviour. Most such approaches ... 
Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and RicciSymmetric Spaces
(MDPI, 20200901)In the paper, we consider geodesic mappings of spaces with an affine connections onto generalized symmetric and Riccisymmetric spaces. In particular, we studied in detail geodesic mappings of spaces with an affine connections ... 
Analysis of temperature degraded concrete at high temperature by applying of nonlinear characteristics
(IOP Publishing, 20180712)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 ... 
Conformal and Geodesic Mappings onto Some Special Spaces
(MDPI, 20190725)In this paper, we consider conformal mappings of Riemannian spaces onto Ricci2symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci2symmetric spaces. The main equations for the ... 
Hybrid Genetic AlgorithmBased Approach for Estimating Flood Losses on Structures of Buildings
(MDPI, 20200410)Occurrence of extreme natural events raises the need for a quick and accurate estimation of losses on the insured residential property in order to support timely recovery of the area. Although various models are now available ... 
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 ... 
Infinitesimal Transformations of Locally Conformal Kähler Manifolds
(MDPI, 20190724)The article is devoted to infinitesimal transformations. We have obtained that LCKmanifolds do not admit nontrivial innitesimal projective transformations. Then we study innitesimal conformal transformations of LCKmanifolds. ... 
Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^2
(Hindawi, 20170612)Twodimensional linear discrete systems $$ x(k+1)=Ax(k)+\sum\limits_{l=1}^{n}B_{l}x_{l}(km_{l}),\,\,\,k\ge 0 $$are analyzed, where $m_{1}, m_{2},\dots, m_{n}$ are constant integer delays, $0<m_{1}<m_{2}<\dots<m_{n}$, $A$, ... 
A dynamical system with random parameters as a mathematical model of real phenomena
(MDPI, 20191030)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 ... 
There Are No Conformal Einstein Rescalings of PseudoRiemannian Einstein Spaces with n Complete LightLike Geodesics
(MDPI, 20190901)In the present paper, we study conformal mappings between a connected ndimension pseudoRiemannian Einstein manifolds. 
Exponential stability of perturbed linear discrete systems
(Springer, 20160129)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 ... 
The PriestleyChao Estimator of Conditional Density with Uniformly Distributed Random Design
(Český statistický úřad, 20180921)The present paper is focused on nonparametric estimation of conditional density. Conditional density can be regarded as a generalization of regression thus the kernel estimator of conditional density can be derived from ...