A new oscillation criterion for two-dimensional dynamic systems on time scales
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Abstract
\begin{equation}
u^\Delta=pv, \quad\quad v^\Delta=-qu^\sigma
\end{equation}
where $p>0$ and $q$ are rd-continuous functions on a time scale $\mathbb T$ such that $\sup\mathbb T=\infty$. When $p(t)$ is allowed to take on negative values, we establish an oscillation criterion for system (0.1). Our result improves a main result of Fu and Lin [S. C. Fu and M. L. Lin, Oscillation and nonoscillation criteria for linear dynamic systems on time scales, Computers and Mathematics with Applications, 59(2010), 2552-2565].
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References
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