Belohorec‐type oscillation theorem for second order sublinear dynamic equations on time scales |
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Authors: | Lynn Erbe Baoguo Jia Allan Peterson |
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Institution: | 1. University of Nebraska‐Lincoln, Lincoln, Nebraska 68588 0130, USA;2. Zhongshan University, Guangzhou 51025, P. R. China |
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Abstract: | Consider the Emden‐Fowler sublinear dynamic equation (0.1) where $p\in C(\mathbb{T},R)$, where $\mathbb{T}$ is a time scale, 0 < α < 1. When p(t) is allowed to take on negative values, we obtain a Belohorec‐type oscillation theorem for (0.1). As an application, we get that the sublinear difference equation (0.2) is oscillatory, if and the sublinear q‐difference equation (0.3) where $t\in q^{\mathbb{N}_0}, q>1$, is oscillatory, if |
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Keywords: | Oscillation Emden‐Fowler equation sublinear MSC (2010) 34K11 39A10 39A99 |
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