Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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: 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.


References [Enhancements On Off] (What's this?)

  • [1] R. Courant and D. Hilbert, Methods of mathematical physics, Vol. II, Interscience, New York, 1962 MR 0065391
  • [2] F. H. Clauser, Phys. of Fluids. 6, 231 (1963) MR 0153263
  • [3] I. M. Gel'fand, Lectures on linear algebra, Interscience, New York, 1963 MR 0122819
  • [4] K. Huang, Statistical mechanics, Academic Press, New York, 1962

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DOI: https://doi.org/10.1090/qam/244596
Article copyright: © Copyright 1969 American Mathematical Society

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