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Online ISSN 1552-4485; Print ISSN 0033-569X
Theory of irreducible operators of linear systems
Author:
H. H. Chiu
Journal:
Quart. Appl. Math. 27 (1969), 87-104
MSC:
Primary 35.00
DOI:
https://doi.org/10.1090/qam/244596
MathSciNet review:
244596
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Abstract | References | Similar Articles | Additional Information
Abstract: The complementary differential operator is devised to decouple two coupled partial differential equations with variable coefficients. This complementary operator transforms two coupled partial differential equations into a pair of uncoupled equations either of (i) fourth order, (ii) third order, or (iii) second order. The conditions for the existence of linearly dependent solutions for two coupled equations with constant coefficient is also discussed. The method is applied to the propagation of two sound waves in liquid helium at finite temperatures.
- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
- Francis H. Clauser, Concept of field modes and the behavior of the magnetohydrodynamic field, Phys. Fluids 6 (1963), 231–253. MR 153263, DOI https://doi.org/10.1063/1.1706722
- I. M. Gel′fand, Lectures on linear algebra, Interscience Tracts in Pure and Applied Mathematics, No. 9. Interscience Publishers, New York-London, 1961. Translated from the revised second Russian edition by A. Shenitzer. MR 0122819 K. Huang, Statistical mechanics, Academic Press, New York, 1962
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Article copyright:
© Copyright 1969
American Mathematical Society