Original title: Autonomní diferenciální rovnice a jejich užití v ekonomii
Translated title: Autonomous Differential Equations and their Use in Economics
Authors: Škrabáková, Katarína ; Štoudková Růžičková, Viera (referee) ; Tomášek, Petr (advisor)
Document type: Bachelor's theses
Year: 2017
Language: slo
Publisher: Vysoké učení technické v Brně. Fakulta podnikatelská
Abstract: [slo] [eng]
Táto bakalárska práca sa zaoberá autonómnymi diferenciálnymi rovnicami a ich využitím v ekonomike. V práci je sformulovaných niekoľko ekonomických modelov, a to Walrasov model cenového prispôsobenia, Goodwinov model hospodárskeho cyklu, dva modely ekonomického rastu - Harrodov-Domarov a Solowov-Swanov. Všetky tieto modely sú podrobené matematickej analýze a ich riešenia sú doplnené o príslušnú ekonomickú interpretáciu. V prípade Walrasova modelu je diskutovaných niekoľko kvalitatívne odlišných typov dopytu. This thesis focuses on autonomous differential equations and their application to economics. There are four economic models formulated in this thesis - the Walrasian auctioneer model, Goodwin’s Growth Cycle Model, and two models of economic growth, the Harrod–Domar model and the Solow–Swan model. All the models are subjected to rigorous mathematical analysis and complemented with appropriate economic interpretations. Specifically for the Walrasian general equilibrium model, several qualitatively different types of demand are discussed.
Keywords: Autonomous differential equations; Models of growth; Stationary point; The Goodwin model; The Walras model

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: http://hdl.handle.net/11012/67448

Permalink: http://www.nusl.cz/ntk/nusl-568323


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Universities and colleges > Public universities > Brno University of Technology
Academic theses (ETDs) > Bachelor's theses