Comparison of eigenvalues for systems of linear differential equations
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- by Sui Sun Cheng
- Proc. Amer. Math. Soc. 64 (1977), 81-86
- DOI: https://doi.org/10.1090/S0002-9939-1977-0440105-X
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Abstract:
This paper is concerned with comparison theorems of an “integral type” concerning the smallest positive eigenvalues of systems of linear differential equations.References
- Curtis C. Travis, Comparison of eigenvalues for linear differential equations of order $2n$, Trans. Amer. Math. Soc. 177 (1973), 363–374. MR 316808, DOI 10.1090/S0002-9947-1973-0316808-5
- M. A. Krasnosel′skiÄ, Positive solutions of operator equations, P. Noordhoff Ltd., Groningen, 1964. Translated from the Russian by Richard E. Flaherty; edited by Leo F. Boron. MR 0181881 K. Kreith, Oscillation theory, Lecture Notes in Math., vol. 324, Springer-Verlag, Berlin and New York, 1973.
- R. D. Gentry and C. C. Travis, Comparison of eigenvalues associated with linear differential equations of arbitrary order, Trans. Amer. Math. Soc. 223 (1976), 167–179. MR 425241, DOI 10.1090/S0002-9947-1976-0425241-X
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 64 (1977), 81-86
- MSC: Primary 34B05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0440105-X
- MathSciNet review: 0440105