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**Lyapunov-type inequalities for some quasilinear dynamic system involving the \((p_1, p_2, \dots, p_m)\)-Laplacian on time scales.**
*(English)*
Zbl 1235.93187

Summary: We establish several new Lyapunov-type inequalities for some quasilinear dynamic system involving the \((p_1, p_2, \dots, p_m)\)-Laplacian on an arbitrary time scale \(\mathbb T\), which generalize and improve some related existing results including the continuous and discrete cases.

### MSC:

93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |

34A08 | Fractional ordinary differential equations |

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\textit{X. He} and \textit{Q.-M. Zhang}, J. Appl. Math. 2011, Article ID 418136, 10 p. (2011; Zbl 1235.93187)

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