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National Repository of Grey Literature 3 records found  Search took 0.02 seconds. 
Autonomous differential equations
 Bokišová, Lenka ; Vodstrčil, Petr (referee) ; Opluštil, Zdeněk (advisor)
This bachelor's thesis is concerned with solution of autonomous dierential equations. Attention is devoted to the basic mathematical models of population growth of single species. It is here mentioned Malthus model, model with intraspecic competition and analyzed the model of population growth under predation. The acquired knowledge is applied to specic mathematical models of sheries. Here are distinguish cases where shing is a constant and depends on the size of the population. Moreover, it is studied the model of shing of sardines with special growth function. In each model is dealt with the question of stability of stationary solutions.
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Periodic solutions to differential equations in modelling of motion of mechanical systems
 Koukalová, Kateřina ; Nechvátal, Luděk (referee) ; Šremr, Jiří (advisor)
This thesis focuses on modelling the motion of mechanical systems using differential equations. The mechanical system is represented by a charged pendulum attracted by two charged particles. The thesis deals with the analysis of the differential equation describing the motion of the pendulum, in particular the singular points of the studied equation. We determine their number, type and stability. Based on the values of the parameters of the mechanical system, the singular points differ, phase portraits are drawn for each case.
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Autonomous differential equations
 Bokišová, Lenka ; Vodstrčil, Petr (referee) ; Opluštil, Zdeněk (advisor)
This bachelor's thesis is concerned with solution of autonomous dierential equations. Attention is devoted to the basic mathematical models of population growth of single species. It is here mentioned Malthus model, model with intraspecic competition and analyzed the model of population growth under predation. The acquired knowledge is applied to specic mathematical models of sheries. Here are distinguish cases where shing is a constant and depends on the size of the population. Moreover, it is studied the model of shing of sardines with special growth function. In each model is dealt with the question of stability of stationary solutions.
Detailed record

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