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Disconjugacy of complex differential systems
Author:
Binyamin Schwarz
Journal:
Trans. Amer. Math. Soc. 125 (1966), 482-496
MSC:
Primary 34.06
MathSciNet review:
0206371
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
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Earl
A. Coddington and Norman
Levinson, Theory of ordinary differential equations,
McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955. MR 0069338
(16,1022b)
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L.
Collatz, Einschliessungssatz für die charakteristischen Zahlen
von Matrizen, Math. Z. 48 (1942), 221–226
(German). MR
0008590 (5,30d)
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F. R. Gantmacher, The theory of matrices, Vol. II, Chelsea, New York, 1959.
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James
A. Jenkins, Univalent functions and conformal mapping,
Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft 18.
Reihe: Moderne Funktionentheorie, Springer-Verlag, Berlin, 1958. MR 0096806
(20 #3288)
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M. Lavie, On classes of analytic functions whose values fulfill given conditions, M.Sc. Thesis, Technion, Haifa, 1960 (Hebrew. English summary).
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Zeev
Nehari, Some inequalities in the theory of
functions, Trans. Amer. Math. Soc. 75 (1953), 256–286. MR 0056704
(15,115c), http://dx.doi.org/10.1090/S0002-9947-1953-0056704-1
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Zeev
Nehari, On an inequality of Lyapunov, Studies in mathematical
analysis and related topics, Stanford Univ. Press, Stanford, Calif., 1962,
pp. 256–261. MR 0145149
(26 #2684)
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Zeev
Nehari, On the zeros of solutions of 𝑛-th order linear
differential equations, J. London Math. Soc. 39
(1964), 327–332. MR 0162004
(28 #5206)
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A.
M. Ostrowski, Positive matrices and functional analysis,
Recent Advances in Matrix Theory (Proc. Advanced Seminar, Math. Res.
Center, U.S. Army, Univ. Wisconsin, Madison, Wis., 1963), Univ. Wisconsin
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- [1]
- E. A. Coddington and N. Levinson, Theory of ordinary differential equations, McGraw-Hill, New York, 1955. MR 0069338 (16:1022b)
- [2]
- L. Collatz, Einschliessungssatz für die charakteristischen Zahlen von Matrizen, Math. Z. 48 (1942), 221-226. MR 0008590 (5:30d)
- [3]
- F. R. Gantmacher, The theory of matrices, Vol. II, Chelsea, New York, 1959.
- [4]
- J. A. Jenkins, Univalent functions and conformal mapping, Springer, Berlin, 1958. MR 0096806 (20:3288)
- [5]
- M. Lavie, On classes of analytic functions whose values fulfill given conditions, M.Sc. Thesis, Technion, Haifa, 1960 (Hebrew. English summary).
- [6]
- Z. Nehari, Some inequalities in the theory of functions, Trans. Amer. Math. Soc. 75 (1953), 256-286. MR 0056704 (15:115c)
- [7]
- -, On an inequality of Lyapunov, Studies in mathematical analysis and related topics; essays in honour of George Pólya, pp. 256-261, Stanford Univ. Press, Stanford, Calif., 1962. MR 0145149 (26:2684)
- [8]
- -, On the zeros of solutions of
th order linear differential equations, J. London Math. Soc. 39 (1964), 327-332. MR 0162004 (28:5206)
- [9]
- A. M. Ostrowski, Positive matrices and functional analysis, Proc. Advanced Seminar, Math. Res. Center, U.S. Army, pp. 81-101, Univ. Wisconsin Press, Madison, Wis., 1964. MR 0169858 (30:101)
- [10]
- H. Wielandt, Unzerlegbare, nicht negative Matrizen, Math. Z. 52 (1950), 642-648. MR 0035265 (11:710g)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1966-0206371-8
PII:
S 0002-9947(1966)0206371-8
Article copyright:
© Copyright 1966 American Mathematical Society
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