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

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.

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Abstract

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.

Item Type: Conference or Workshop Item (Plenary Papers)
Additional Information: 6830/69402
Uncontrolled Keywords: linear partial differential equation; change of variables; equivalence; invariant; fiber bundled space
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Q Science > QA Mathematics > QA300 Analysis
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering
Kulliyyah of Engineering > Department of Science
Depositing User: Associate Prof. Ural Bekbaev
Date Deposited: 23 Jan 2019 10:08
Last Modified: 21 Feb 2019 12:11
URI: http://irep.iium.edu.my/id/eprint/69402

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