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Table 1 Existence in \(\pmb{S^{-}}\)

From: On oscillatory behavior of two-dimensional time scale systems

\(S^{-}_{B,B} \) \(B(t_{0},\infty)<\infty\) \(I_{1}<\infty\), k<0, l>0
\(S^{-}_{B,0} \) \(B(t_{0},\infty)<\infty\) \(I_{1}<\infty\), k = 0, l>0
\(S^{-}_{0,B} \) \(A(t_{0},\infty)<\infty\) \(I_{2}<\infty\), m>0
\(S^{-}_{0,0} \) \(A(t_{0},\infty)<\infty\) \(I_{1}<\infty\), \(I_{2}=\infty\), k = 0, l<0, m>0