Theory and Modern Applications
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 |