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	Differential equation with super-linearities in mathematical modelling of processes in mechanics Maňáková, Lenka ; Nechvátal, Luděk (referee) ; Šremr, Jiří (advisor) This work is focused on the qualitative study and interpretation of a certain differential equation with superlinearities. In particular, a question of the existence of equilibrium points and the drawing of phase portraits is investigated using the theory of dynamic systems, more precisely using Hamilton systems. The properties and types of solutions are illustrated in phase portraits. Detailed record
	Duffing equation in mathematical modelling of non-linear oscillators Vozárová, Juliana ; Štoudková Růžičková, Viera (referee) ; Šremr, Jiří (advisor) The thesis deals with the behaviour of non-linear oscilators. Within their models there often appears the Duffing equation. The aims of this investigation include fundamentals of the theory of differential equations, interpretation of the Duffing equation and its analysis. To fulfill these aims, this investigation utilizes qualitative theory of the differential equations. It means that closed form solutions to the equations are not looked for but qualitative behaviour and properties of the solutions are studied. Some of the properties of solutions can be obtained from phase portraits. Detailed record
	Differential equation with super-linearities in mathematical modelling of processes in mechanics Maňáková, Lenka ; Nechvátal, Luděk (referee) ; Šremr, Jiří (advisor) This work is focused on the qualitative study and interpretation of a certain differential equation with superlinearities. In particular, a question of the existence of equilibrium points and the drawing of phase portraits is investigated using the theory of dynamic systems, more precisely using Hamilton systems. The properties and types of solutions are illustrated in phase portraits. Detailed record
	Duffing equation in mathematical modelling of non-linear oscillators Vozárová, Juliana ; Štoudková Růžičková, Viera (referee) ; Šremr, Jiří (advisor) The thesis deals with the behaviour of non-linear oscilators. Within their models there often appears the Duffing equation. The aims of this investigation include fundamentals of the theory of differential equations, interpretation of the Duffing equation and its analysis. To fulfill these aims, this investigation utilizes qualitative theory of the differential equations. It means that closed form solutions to the equations are not looked for but qualitative behaviour and properties of the solutions are studied. Some of the properties of solutions can be obtained from phase portraits. Detailed record

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