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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Oscillation of neutral differential equations with periodic coefficients


Authors: Qing Guang Huang and Shao Zhu Chen
Journal: Proc. Amer. Math. Soc. 110 (1990), 997-1001
MSC: Primary 34K15; Secondary 34K25, 34K40
MathSciNet review: 1075188
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Abstract: We establish a necessary and sufficient condition for the oscillation of all solutions to the neutral differential equation

$\displaystyle [x(t) - p(x)(t - r)]' + \sum\limits_{i = 1}^n {{q_i}(t)x(t - ir) = 0} ,$

where $ 0 \leq p \leq 1,r > 0$ are constants and $ {q_i}(t) \geq 0,i = 1, \ldots ,n$, are continuous $ r$-periodic functions.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1075188-6
PII: S 0002-9939(1990)1075188-6
Keywords: Oscillation, neutral equations, periodic coefficients, characteristic equations
Article copyright: © Copyright 1990 American Mathematical Society