2021/1
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Bifurcation of positive periodic solutions to non-autonomous undamped Duffing equations
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2021)We study a bifurcation of positive solutions to the parameter-dependentperiodic problem u′′=p(t)u−h(t)|u|λsgnu+μf(t);u(0) =u(ω), u′(0) =u′(ω),whereλ >1,p,h,f∈L([0,ω]), andμ∈Ris a parameter. Both the coefficientpand the ... -
Duality of conservation laws and their role in the processes of emergence of physical structures and formations
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2021)As it is known, the conservation laws for material media are conservationlaws for energy, linear momentum, angular momentum, and mass. Such conser-vation laws are described by differential equations. And the conservation ... -
An incremental method for the construction of the box extents of a context
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2021)In this paper we are improving a method proposed in [2] for the construc-tion of the box extents of a given formal context. We prove that the lattice of thebox extents can be order-embedded in the lattice generated by the ... -
Latin quandles and applications to cryptography
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2021)This work investigated some properties of Latin quandles that are ap-plicable in cryptography. Four distinct cores of an Osborn loop (non-diassociativeand non-power associative) were introduced and investigated. The necessary ... -
The manager sack race game
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2021)This article applies game theory to explain why football clubs have a ten-dency to sack their managers when relegation is a realistic option. As opposedto coach succession literature, which typically ... -
Sheffer operations in complemented posets
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2021)We show that in every downward directed poset with an antitone involu-tion the so-called Sheffer operation can be introduced satisfying certain identities.However, also conversely, if we have given a Sheffer operation|on ... -
h-stability and boundedness results for solutions to certain nonlinear perturbed systems
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2021)In this work, we establish some new sufficient conditions to show the uni-formh-stability for nonlinear time-varying perturbed systems which can be viewedas an extension of the uniform exponential stability and polynomial ...