On classification and invariants of second order non-parabolic linear partial differential equations in two variables

On classification and invariants of second order non-parabolic linear partial differential equations in two variables

The paper deals with second order abstract linear partial differential equations (LPDE) over a partial differential field with two commuting differential operators. In terms of usual differential equations the main content can be presented as follows. The classification and invariants problems for...

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Main Author: Bekbaev, Ural
Format: Conference or Workshop Item
Language:English
English
English
Published: AIP 2018
Subjects:
Q Science (General)
QA Mathematics
QA300 Analysis
Online Access:http://irep.iium.edu.my/69402/
http://irep.iium.edu.my/69402/
http://irep.iium.edu.my/69402/
http://irep.iium.edu.my/69402/8/69402%20On%20classification%20and%20invariants%20of%20second%20order%20non-parabolic%20linear%20partial%20differential.pdf
http://irep.iium.edu.my/69402/9/69402%20On%20classification%20and%20invariants%20of%20second%20order%20SCOPUS.pdf
http://irep.iium.edu.my/69402/20/69402_On%20classification%20and%20invariants%20of%20second_WOS.pdf
id iium-69402
recordtype eprints
spelling iium-694022019-02-21T04:11:22Z http://irep.iium.edu.my/69402/ On classification and invariants of second order non-parabolic linear partial differential equations in two variables Bekbaev, Ural Q Science (General) QA Mathematics QA300 Analysis The paper deals with second order abstract linear partial differential equations (LPDE) over a partial differential field with two commuting differential operators. In terms of usual differential equations the main content can be presented as follows. The classification and invariants problems for second order LPDEs with respect to transformations x = x(x ;h); y = y(x ;h); u = h(x;y)v(x ;h); where x;y are independent and u is the dependent variable of the LPDE, are considered. Solutions to these problems are given for different subclasses of non-parabolic LPDE which appear naturally in the equivalence problem of LPDE. A criterion for reducibility of such LPDE to LPDE with constant coefficients is offered as well. AIP 2018 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/69402/8/69402%20On%20classification%20and%20invariants%20of%20second%20order%20non-parabolic%20linear%20partial%20differential.pdf application/pdf en http://irep.iium.edu.my/69402/9/69402%20On%20classification%20and%20invariants%20of%20second%20order%20SCOPUS.pdf application/pdf en http://irep.iium.edu.my/69402/20/69402_On%20classification%20and%20invariants%20of%20second_WOS.pdf Bekbaev, Ural (2018) On classification and invariants of second order non-parabolic linear partial differential equations in two variables. In: 25th National Symposium on Mathematical Sciences (SKSM25), 27th-29th August 2017, Kuantan, Pahang. https://aip.scitation.org/doi/10.1063/1.5041578 10.1063/1.5041578
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
English
topic Q Science (General)
QA Mathematics
QA300 Analysis
spellingShingle Q Science (General)
QA Mathematics
QA300 Analysis
Bekbaev, Ural
On classification and invariants of second order non-parabolic linear partial differential equations in two variables
description The paper deals with second order abstract linear partial differential equations (LPDE) over a partial differential field with two commuting differential operators. In terms of usual differential equations the main content can be presented as follows. The classification and invariants problems for second order LPDEs with respect to transformations x = x(x ;h); y = y(x ;h); u = h(x;y)v(x ;h); where x;y are independent and u is the dependent variable of the LPDE, are considered. Solutions to these problems are given for different subclasses of non-parabolic LPDE which appear naturally in the equivalence problem of LPDE. A criterion for reducibility of such LPDE to LPDE with constant coefficients is offered as well.
format Conference or Workshop Item
author Bekbaev, Ural
author_facet Bekbaev, Ural
author_sort Bekbaev, Ural
title On classification and invariants of second order non-parabolic linear partial differential equations in two variables
title_short On classification and invariants of second order non-parabolic linear partial differential equations in two variables
title_full On classification and invariants of second order non-parabolic linear partial differential equations in two variables
title_fullStr On classification and invariants of second order non-parabolic linear partial differential equations in two variables
title_full_unstemmed On classification and invariants of second order non-parabolic linear partial differential equations in two variables
title_sort on classification and invariants of second order non-parabolic linear partial differential equations in two variables
publisher AIP
publishDate 2018
url http://irep.iium.edu.my/69402/
http://irep.iium.edu.my/69402/
http://irep.iium.edu.my/69402/
http://irep.iium.edu.my/69402/8/69402%20On%20classification%20and%20invariants%20of%20second%20order%20non-parabolic%20linear%20partial%20differential.pdf
http://irep.iium.edu.my/69402/9/69402%20On%20classification%20and%20invariants%20of%20second%20order%20SCOPUS.pdf
http://irep.iium.edu.my/69402/20/69402_On%20classification%20and%20invariants%20of%20second_WOS.pdf
first_indexed 2023-09-18T21:38:30Z
last_indexed 2023-09-18T21:38:30Z
_version_ 1777412982241755136

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