Oscillatory behavior of third order differential equations

Jones, Gary D.

doi:10.1090/S0002-9939-1974-0333341-1

Oscillatory behavior of third order differential equations
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by Gary D. Jones

Proc. Amer. Math. Soc. 43 (1974), 133-136

DOI: https://doi.org/10.1090/S0002-9939-1974-0333341-1

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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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