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Oscillation theorems for a second order sublinear ordinary differential equation

Author: Takeshi Kura
Journal: Proc. Amer. Math. Soc. 84 (1982), 535-538
MSC: Primary 34C15
MathSciNet review: 643744
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Abstract: New oscillation criteria are given for the differential equation

$\displaystyle u'' + a(t)\vert u{\vert^\alpha }\operatorname{sgn} u = 0,\quad 0 < \alpha < 1,$

where $ a(t)$ is allowed to take on negative values for arbitrarily large $ t$.

References [Enhancements On Off] (What's this?)

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Keywords: Oscillation, oscillatory solution, nonlinear, sublinear differential equation
Article copyright: © Copyright 1982 American Mathematical Society