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

 

On certain comparison theorems for second order linear oscillation


Author: Man Kam Kwong
Journal: Proc. Amer. Math. Soc. 84 (1982), 539-542
MSC: Primary 34C10
MathSciNet review: 643745
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Abstract: It is shown that if $ (py')' + qy = 0$ on $ [0,\infty )$ is oscillatory then $ (pz')' + aqz = 0$ is also oscillatory for functions satisfying $ a(t) \geqslant 1$ and

$\displaystyle 2p(t)a'(t) - 3\int_0^t {p(s){{a'}^2}(s){a^{ - 1}}(s)ds} $

is nonincreasing.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0643745-X
PII: S 0002-9939(1982)0643745-X
Keywords: Oscillation, second order, linear differential equations
Article copyright: © Copyright 1982 American Mathematical Society