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2011 Factorization of linear and nonlinear differential operators: necessary and sufficient conditions
Mahouton Norbert Hounkonnou, Pascal D. Sielenou
Commun. Math. Anal. 10(2): 53-74 (2011).

Abstract

An algebraic approach for factorizing nonlinear partial differential equations (PDEs) and systems of PDEs is provided. In the particular case of second order linear and nonlinear PDEs and systems of PDEs, necessary and sufficient conditions of factorization are given.

Citation

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Mahouton Norbert Hounkonnou. Pascal D. Sielenou. "Factorization of linear and nonlinear differential operators: necessary and sufficient conditions." Commun. Math. Anal. 10 (2) 53 - 74, 2011.

Information

Published: 2011
First available in Project Euclid: 28 November 2011

zbMATH: 1252.35018
MathSciNet: MR2859851

Subjects:
Primary: 34-01
Secondary: 3434 , 34A30 , 35-01 , 47E05 , 47F05

Keywords: factorization , linear differential equations , Nonlinear differential equations , system of linear differential equations , system of nonlinear differential equations

Rights: Copyright © 2011 Mathematical Research Publishers

Vol.10 • No. 2 • 2011
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