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Boundary problem for beam deflections
Machalová, Monika ; Šremr, Jiří (referee) ; Opluštil, Zdeněk (advisor)
This bachelor's thesis deals with the deflection of the beam. The second chapter is devoted to the linear differential equations and their solution, followed by a description of the different types of prescribed boundary conditions. In the third chapter the linear differential equation of second and fourth order for the deflection of the beam is derived. The last chapter is focused on comparing linear and nonlinear models. The theory is complemented by some solved examples, in which analytical solutions are plotted by using mathematical software Matlab.
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Epidemic models
Machalová, Monika ; Šremr, Jiří (referee) ; Opluštil, Zdeněk (advisor)
Epidemiological models and their analysis are an essential tool for studying, understanding, and controlling the spread of epidemics. It is a discipline in which we are trying to answer questions such as how long an epidemic will last, what its flow will be, or how much it will affect the population. There are a large number of models and approaches for describing these epidemics and their behavior. In this thesis, we focus on models described by a system of differential equations, and we analyze these models in terms of stability.
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Boundary problem for beam deflections
Machalová, Monika ; Šremr, Jiří (referee) ; Opluštil, Zdeněk (advisor)
This bachelor's thesis deals with the deflection of the beam. The second chapter is devoted to the linear differential equations and their solution, followed by a description of the different types of prescribed boundary conditions. In the third chapter the linear differential equation of second and fourth order for the deflection of the beam is derived. The last chapter is focused on comparing linear and nonlinear models. The theory is complemented by some solved examples, in which analytical solutions are plotted by using mathematical software Matlab.
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