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Išsigimstančios dalinių išvestinių sistemos sprendinių struktūra / The solutions structure of the system of malformed partial derivations

In this master thesis it is analyzed the system of four partial fluxions of the primary row of differential equations the row of which dwindles at the point of p+1, when p = 0. The system of partial fluxions of differential equations has been solved through the modified technique of summarized degree rows. Two cases were explored: general and when the system’s ratios initial matrix is a special structure matrix. The solutions of the system dependence on the ratios, which are near partial fluxions of the searched function, were explored. There were designed four families of the detached solutions and proved that each of them depends on one optional function of y and z variables. The structure of system of solutions at the malformation points depends not only on x degree, but also on y and z variables. There is no such type of malformation in the theory of dwindle simple differential equations, therefore this analyzed dwindle of the system of partial fluxion of differential equations is called quasi-regular malformation. Keywords: differential equation, partial derivation, quasi-regular malformation.

Identiferoai:union.ndltd.org:LABT_ETD/oai:elaba.lt:LT-eLABa-0001:E.02~2006~D_20060602_104836-79268
Date02 June 2006
CreatorsČiučkytė, Renata
ContributorsAlekna, Petras, Korsakienė, Daiva, Kanišauskas, Vaidotas, Makulavičiūtė, Oksana, Šiaučiūnas, Darius, Jurgaitis, Donatas, Laurinčikas, Antanas, Tamašauskas, Vincas, Kačinskaitė, Roma, Siauliai University
PublisherLithuanian Academic Libraries Network (LABT), Siauliai University
Source SetsLithuanian ETD submission system
LanguageLithuanian
Detected LanguageEnglish
TypeMaster thesis
Formatapplication/pdf
Sourcehttp://vddb.library.lt/obj/LT-eLABa-0001:E.02~2006~D_20060602_104836-79268
RightsUnrestricted

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