Reduction of system of partial derivatives with nilpotent matrix

In this paper we explain the method of squaring of the partial derivatives system with nilpotent matrix into the system with simpler matrix next to the solving function. Asymptotical solutions of this new system can be found using the method of gradual rows.

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Main Authors: Donatas Jurgaitis, Arvydas-Juozapgs Janavičius
Format: Article
Language:English
Published: Vilnius University Press 2000-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/35077
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author Donatas Jurgaitis
Arvydas-Juozapgs Janavičius
author_facet Donatas Jurgaitis
Arvydas-Juozapgs Janavičius
author_sort Donatas Jurgaitis
collection DOAJ
description In this paper we explain the method of squaring of the partial derivatives system with nilpotent matrix into the system with simpler matrix next to the solving function. Asymptotical solutions of this new system can be found using the method of gradual rows.
format Article
id doaj-art-6051c1da46c6484792d1b42a46504e36
institution Kabale University
issn 0132-2818
2335-898X
language English
publishDate 2000-12-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-6051c1da46c6484792d1b42a46504e362025-02-11T18:14:57ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2000-12-0140spec.10.15388/LMR.2000.35077Reduction of system of partial derivatives with nilpotent matrixDonatas Jurgaitis0Arvydas-Juozapgs Janavičius1Siauliu UniversitySiauliu University In this paper we explain the method of squaring of the partial derivatives system with nilpotent matrix into the system with simpler matrix next to the solving function. Asymptotical solutions of this new system can be found using the method of gradual rows. https://www.zurnalai.vu.lt/LMR/article/view/35077
spellingShingle Donatas Jurgaitis
Arvydas-Juozapgs Janavičius
Reduction of system of partial derivatives with nilpotent matrix
Lietuvos Matematikos Rinkinys
title Reduction of system of partial derivatives with nilpotent matrix
title_full Reduction of system of partial derivatives with nilpotent matrix
title_fullStr Reduction of system of partial derivatives with nilpotent matrix
title_full_unstemmed Reduction of system of partial derivatives with nilpotent matrix
title_short Reduction of system of partial derivatives with nilpotent matrix
title_sort reduction of system of partial derivatives with nilpotent matrix
url https://www.zurnalai.vu.lt/LMR/article/view/35077
work_keys_str_mv AT donatasjurgaitis reductionofsystemofpartialderivativeswithnilpotentmatrix
AT arvydasjuozapgsjanavicius reductionofsystemofpartialderivativeswithnilpotentmatrix