Darbouxjeva integrabilnost polinomskih sistemov navadnih diferencialnih enačb : magistrsko delo

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Darbouxjeva integrabilnost polinomskih sistemov navadnih diferencialnih enačb : magistrsko delo

Rožič, Rok, 1990-

V tej magistrski nalogi obravnavamo teorijo Darbouxjeve integrabilnosti. V prvem poglavju opišemo osnovne pojme komutativne algebre, ki so potrebni za našo študijo. V drugem poglavju obravnavamo ... teorijo Darbouxjeve integrabilnosti za dvodimenzionalne sisteme navadnih diferencialnih enačb. Opišemo obstoj Darbouxjevih prvih integralov in Darbouxjevih integrirajočih množiteljev v odvisnosti od števila invariantnih krivulj ter predstavimo izračun invariantnih krivulj in z uporabo le-teh konstrukcijo Darbouxjevih prvih integralov in integrirajočih množiteljev. Nadalje v tem poglavju s pomočjo opisane teorije Darbouxjeve integrabilnosti poiščemo Darbouxjev prvi integral in integrirajoči množitelj dveh dvodimenzionalnih sistemov četrte stopnje. V tretjem poglavju opišemo Darbouxjevo teorijo za n-dimenzionalne sisteme in v zadnjem poglavju navedemo odprto vprašanje za ravninska polinomska vektorska polja in nekatere uporabnosti Darbouxjeve teorije.

Type of material - master's thesis ; adult, serious

Publication and manufacture - Maribor : [R. Rožič], 2016

Language - slovenian

COBISS.SI-ID - 22190600

Link(s):
Digital Library of the University of Maribor – DLUM

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Author
Rožič, Rok, 1990-

Other authors
Romanovski, Valery | Ferčec, Brigita

Availability in libraries

Library/institution	City	Acronym	For loan	Other holdings
Miklošič Library FPNM, Maribor	Maribor	PEFMB	reading room 1 cop.

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Rožič, Rok, 1990-
Romanovski, Valery	20779
Ferčec, Brigita	31806

Source: Personal bibliographies and: SICRIS

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