Modelling in economics using differential equations with delay

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26510%2F20%3APU139563" target="_blank" >RIV/00216305:26510/20:PU139563 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.konference.fbm.vutbr.cz/workshop/useruploads/files/sbornik/sbornik_workshop_2020.pdf" target="_blank" >https://www.konference.fbm.vutbr.cz/workshop/useruploads/files/sbornik/sbornik_workshop_2020.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Modelling in economics using differential equations with delay

Popis výsledku v původním jazyce

Modern economic models are often constructed using functional differential equations (FDEs). With these equations, it is possible to construct models that are able to bring the described situations even closer to reality. These equations work with some sort of deformation of its arguments. Specifically, in our case, we introduce the so-called delay in these equations, which gives a subset of FDEs, namely, delay differential equations. These equations cannot be solved using classical known methods for solving ordinary differential equations (ODEs), and the theory around them is very little described in comparison with that of ODEs. In modern mathematical theory, we cannot do without the use of mathematical software, which are able, among other things, to solve this type of equations in certain cases, using basic methods for the solution. The described equations have found use in many economic applications, it is worth mentioning, for example, the model describing the so-called "shipbuilding cycle".

Název v anglickém jazyce

Modelling in economics using differential equations with delay

Popis výsledku anglicky

Modern economic models are often constructed using functional differential equations (FDEs). With these equations, it is possible to construct models that are able to bring the described situations even closer to reality. These equations work with some sort of deformation of its arguments. Specifically, in our case, we introduce the so-called delay in these equations, which gives a subset of FDEs, namely, delay differential equations. These equations cannot be solved using classical known methods for solving ordinary differential equations (ODEs), and the theory around them is very little described in comparison with that of ODEs. In modern mathematical theory, we cannot do without the use of mathematical software, which are able, among other things, to solve this type of equations in certain cases, using basic methods for the solution. The described equations have found use in many economic applications, it is worth mentioning, for example, the model describing the so-called "shipbuilding cycle".

Druh

O - Ostatní výsledky

CEP obor

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OECD FORD obor

50204 - Business and management

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů