Proceedings of the American Mathematical Society

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



On the oscillation and nonoscillation of second order sublinear equations

Authors: Man Kam Kwong and James S. W. Wong
Journal: Proc. Amer. Math. Soc. 85 (1982), 547-551
MSC: Primary 34C10
MathSciNet review: 660602
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Abstract: An oscillation criterion and a nonoscillation criterion are given for the sublinear equation $ y'' + a(t)\vert y{\vert^\gamma }\operatorname{sgn} y = 0$, $ 0 < \gamma < 1,t \in [0,\infty )$, where $ a(t)$ is allowed to change sign. When applied to the special case $ a(t) = {t^\lambda }\sin t$, we deduce oscillation for $ \lambda > - \gamma $ and nonoscillation for $ \lambda < - \gamma $.

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Keywords: Second order, nonlinear, differential equations, oscillation
Article copyright: © Copyright 1982 American Mathematical Society