National Repository of Grey Literature 6 records found  Search took 0.01 seconds. 
Stability analysis of delay differential equations
Pustějovský, Michal ; Opluštil, Zdeněk (referee) ; Tomášek, Petr (advisor)
This thesis deals with asymptotic stability analysis of delayed differential equations. First we focus on introduction of this type of equations. Next we study stability of linear autonomous equations. Here we get some simple criteria of stability. The main part of the thesis is application of these criteria to a engineering problem - the model of turning tool regenerative effect. In mathematical sense, it is a initial value problem of linear delayed differential equation. Practical outcome of this thesis is a computer application written in Maple environment displaying stability region.
Stability analysis of numerical methods for delay differential equations
Obrátil, Štěpán ; Jánský,, Jiří (referee) ; Tomášek, Petr (advisor)
The thesis deals with numerical analysis of delay differential equations. Particularly, the -method is applied to the pantograph equation considering equidistant and quasi-geometric mesh. Qualitative properties of the numerical methods are demonstrated on several special cases of the pantograph equation.
Analysis of a certain class of delay differential equations
Hrabec, Martin ; Tomášek, Petr (referee) ; Nechvátal, Luděk (advisor)
This thesis deals with analysis of a certain class of delay differential equations. Firstly there are described basic concepts related to delay differential equations. The studied class of equations and relatively simple criterion representing a necessary and sufficient condition of attractivity of null solution are introduced next. Numerical experiments and description of used numerical method are presented as well.
Analysis of a certain class of delay differential equations
Hrabec, Martin ; Tomášek, Petr (referee) ; Nechvátal, Luděk (advisor)
This thesis deals with analysis of a certain class of delay differential equations. Firstly there are described basic concepts related to delay differential equations. The studied class of equations and relatively simple criterion representing a necessary and sufficient condition of attractivity of null solution are introduced next. Numerical experiments and description of used numerical method are presented as well.
Stability analysis of numerical methods for delay differential equations
Obrátil, Štěpán ; Jánský,, Jiří (referee) ; Tomášek, Petr (advisor)
The thesis deals with numerical analysis of delay differential equations. Particularly, the -method is applied to the pantograph equation considering equidistant and quasi-geometric mesh. Qualitative properties of the numerical methods are demonstrated on several special cases of the pantograph equation.
Stability analysis of delay differential equations
Pustějovský, Michal ; Opluštil, Zdeněk (referee) ; Tomášek, Petr (advisor)
This thesis deals with asymptotic stability analysis of delayed differential equations. First we focus on introduction of this type of equations. Next we study stability of linear autonomous equations. Here we get some simple criteria of stability. The main part of the thesis is application of these criteria to a engineering problem - the model of turning tool regenerative effect. In mathematical sense, it is a initial value problem of linear delayed differential equation. Practical outcome of this thesis is a computer application written in Maple environment displaying stability region.

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