Neke primjene običnih diferencijalnih jednadžbi

master's thesis

• Author: Krešimir Vučić
• Mentor: Dijana Ilišević (mentor)
• Committee member: Dijana Ilišević (predsjednik povjerenstva)
• Committee member: Tina Bosner (član povjerenstva)
• Committee member: Andrej Dujella (član povjerenstva)
• Committee member: Marko Vrdoljak (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2016-09-23, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu su opisane neke primjene običnih diferencijalnih jednadžbi u geometriji, nekim prirodnim znanostima i ekonomiji. Navedeni su različiti primjeri problema koji se modeliraju diferencijalnim jednadžbama. Pokazano je kako su u njihovom rješavanju ključna dva koraka. Prvi korak je postaviti odgovarajuću diferencijalnu jednadžbu koja opisuje vezu među veličinama koje se pojavljuju u tom problemu. Zatim se dobivena diferencijalna jednadžba rješava metodama matematičke analize, preciznije, teorije diferencijalnih jednadžbi.

Abstract (english)

Some applications of ordinary differential equations in geometry, science and economics are described in this thesis. Various examples of problems which can be modeled by differential equations are given. The solving of these problems includes two key steps. The first step is to set the differential equation which describes the corresponding relationship among variables. The obtained differential equation is then solved using the methods of mathematical analysis, or more precisely, using the theory of differential equations.

• Keywords: primjene običnih diferencijalnih jednadžbi; geometrija; prirodne znanosti; ekonomija
• Keywords (english): applications of ordinary differential equations; geometry; science; economics
• Language: croatian
• URN:NBN: urn:nbn:hr:217:711126
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-02-19 16:28:32