Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Separation and interlacing theorems


Authors: Louis C. Barrett and Gerald E. Bendixen
Journal: Quart. Appl. Math. 23 (1965), 69-78
MSC: Primary 39.00
DOI: https://doi.org/10.1090/qam/178265
MathSciNet review: 178265
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References [Enhancements On Off] (What's this?)

  • [1] E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
  • [2] C. C. MacDuffee, The theory of matrices, Chelsea, New York, 1956
  • [3] William M. Whyburn, Differential systems with boundary conditions at more than two points, Proceedings of the conference on differential equations (dedicated to A. Weinstein), University of Maryland Book Store, College Park, Md., 1956, pp. 1–21. MR 0082002
  • [4] T. J. Pignani and W. M. Whyburn, Differential systems with interface and general boundary conditions, J. Elisha Mitchell Sci. Soc. 72 (1956), 1–14. MR 0079180
  • [5] R. E. Smithson, O. N. Strand, and C. J. Thorne, Temperatures in structures, NAVORD Report 5558, Parts 2, 3, and 4, U. S. Naval Ordnance Test Station, China Lake, California, 1958
  • [6] L. C. Barrett and C. J. Thorne, Sturm-Liouville systems with generalized boundary conditions, NAVORD Report 6517, U. S. Naval Ordnance Test Station, China Lake, California, 1959
  • [7] L. C. Barrett, Sturm-Liouville systems involving generalized boundary conditions, Proc. South Dakota Acad. Sci. 38 (1959) 223
  • [8] L. C. Barrett, Separation and interlacing theorems with applications to the characteristic numbers of two-layer Sturm-Liouville systems, NAVWEPS Report 8466, U. S. Naval Ordnance Test Station, China Lake, California, 1964

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DOI: https://doi.org/10.1090/qam/178265
Article copyright: © Copyright 1965 American Mathematical Society


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