On oscillation of complex linear differential systems
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- by Donald F. St. Mary
- Proc. Amer. Math. Soc. 36 (1972), 191-194
- DOI: https://doi.org/10.1090/S0002-9939-1972-0318552-1
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Abstract:
This paper is concerned with first order linear matrix differential equations defined in the complex plane; such a system is said to be oscillatory in a domain D, if each component of a vector solution has a zero in D. It is shown that some sufficient conditions for nonoscillation on the real line, recently developed by Z. Nehari, can be extended to the plane.References
- Zeev Nehari, Oscillation theorems for systems of linear differential equations, Trans. Amer. Math. Soc. 139 (1969), 339–347. MR 239185, DOI 10.1090/S0002-9947-1969-0239185-6
- W. J. Kim, Disconjugacy and disfocality of differential systems, J. Math. Anal. Appl. 26 (1969), 9–19. MR 236464, DOI 10.1016/0022-247X(69)90172-3
- Binyamin Schwarz, Norm conditions for disconjugacy of complex differential systems, J. Math. Anal. Appl. 28 (1969), 553–568. MR 249722, DOI 10.1016/0022-247X(69)90008-0 Z. Nehari, Oscillation criteria for systems of linear differential equations, Notices Amer. Math. Soc. 18 (1971), 370. Abstract #683-B26.
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 191-194
- MSC: Primary 34A20; Secondary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0318552-1
- MathSciNet review: 0318552