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Delay differential equations
Kráčmar, Jiří ; Vodstrčil, Petr (referee) ; Opluštil, Zdeněk (advisor)
Bachelor thesis focuses on the issue of differential equations with delay, which, unlike ordinary differential equations, contain in the unknown function argument the function of the so-called delay. Therefore, these are capable of a more exact description of certain real systems we want to convert into mathematic models. Practically, these are those systems where time delays, necessary for the reaction of the system to the change of status, occur. The presence of this delay, however, also complicates solution of such equations and sets further differences in comparison with ordinary equations. The crucial differences are described in this thesis. Also the principle is shown for the use of delay-differential equations in population growth models.
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Delay differential equations
Kráčmar, Jiří ; Vodstrčil, Petr (referee) ; Opluštil, Zdeněk (advisor)
Bachelor thesis focuses on the issue of differential equations with delay, which, unlike ordinary differential equations, contain in the unknown function argument the function of the so-called delay. Therefore, these are capable of a more exact description of certain real systems we want to convert into mathematic models. Practically, these are those systems where time delays, necessary for the reaction of the system to the change of status, occur. The presence of this delay, however, also complicates solution of such equations and sets further differences in comparison with ordinary equations. The crucial differences are described in this thesis. Also the principle is shown for the use of delay-differential equations in population growth models.
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