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Banach Algebras
Machovičová, Tatiana ; Nechvátal, Luděk (oponent) ; Franců, Jan (vedoucí práce)
By Banach algebra we mean Banach space enriched with a multiplication operation. It is a mathematical structure that is used in the non-periodic homogenization of composite materials. The theory of classical homogenization studies materials assuming the periodicity of the structure. For real materials, the assumption of a periodicity is not enough and is replaced by the so-called an abstract hypothesis based on a concept composed mainly of the spectrum of Banach algebra and Sigma convergence. This theory was introduced in 2004.
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Dynamics of Models of Infectious Diseases
Machovičová, Tatiana ; Štoudková Růžičková, Viera (oponent) ; Čermák, Jan (vedoucí práce)
The subject of this bachelor's thesis is mathematical modelling in the epidemiological study of infectious diseases. The primary goal was to construct, characterize and analyze of the Kermack-McKendrick epidemic model. Furthermore, the stability of venereal disease models is analyzed, with focus on Acquired Immunodeficiency Syndrome (AIDS) and its treatment.
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Banach Algebras
Machovičová, Tatiana ; Nechvátal, Luděk (oponent) ; Franců, Jan (vedoucí práce)
By Banach algebra we mean Banach space enriched with a multiplication operation. It is a mathematical structure that is used in the non-periodic homogenization of composite materials. The theory of classical homogenization studies materials assuming the periodicity of the structure. For real materials, the assumption of a periodicity is not enough and is replaced by the so-called an abstract hypothesis based on a concept composed mainly of the spectrum of Banach algebra and Sigma convergence. This theory was introduced in 2004.
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Dynamics of Models of Infectious Diseases
Machovičová, Tatiana ; Štoudková Růžičková, Viera (oponent) ; Čermák, Jan (vedoucí práce)
The subject of this bachelor's thesis is mathematical modelling in the epidemiological study of infectious diseases. The primary goal was to construct, characterize and analyze of the Kermack-McKendrick epidemic model. Furthermore, the stability of venereal disease models is analyzed, with focus on Acquired Immunodeficiency Syndrome (AIDS) and its treatment.
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