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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On oscillation of complex linear differential systems


Author: Donald F. St. Mary
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
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0318552-1
Keywords: Complex differential equations, first order matrix differential systems, oscillation, suborthogonal, disconjugacy, unitary matrix
Article copyright: © Copyright 1972 American Mathematical Society