Properties of ODEs and PDEs in Algebras

Yakov Krasnov

doi:10.1007/s11785-012-0247-5

Properties of ODEs and PDEs in Algebras

Yakov Krasnov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Our main purpose here is to show how the algebraic formalism can be applied with great success to a remarkably elegant description of the geometry of curves being solutions to homogeneous polynomial ODEs as well as to arouse interest to the algebraic language in PDEs.

Original language	English
Pages (from-to)	623-634
Number of pages	12
Journal	Complex Analysis and Operator Theory
Volume	7
Issue number	3
DOIs	https://doi.org/10.1007/s11785-012-0247-5
State	Published - Jun 2013

Keywords

Differential equations in algebra
Dirac equation
Riccati equation

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10.1007/s11785-012-0247-5

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Properties of ODEs and PDEs in Algebras

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