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Proceedings of the American Mathematical Society

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

 

 

Oscillatory behavior of third order differential equations


Author: Gary D. Jones
Journal: Proc. Amer. Math. Soc. 43 (1974), 133-136
MSC: Primary 34C10
DOI: https://doi.org/10.1090/S0002-9939-1974-0333341-1
MathSciNet review: 0333341
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Abstract: It is shown that if $ p(x) \leqq 0,q(x) > 0$ and if $ y''' + py' + qy = 0$ has an oscillatory solution then every nonoscillatory solution is a constant multiple of one nonoscillatory solution.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0333341-1
Keywords: Differential equations, third order, oscillation, basis of solutions
Article copyright: © Copyright 1974 American Mathematical Society