Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the ( p 1 , p 2 , … , p m ) -Laplacian on Time Scales

Xiaofei He; Qi-Ming Zhang

doi:10.1155/2011/418136

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Home > Journals > J. Appl. Math. > Volume 2011 > Article

2011 Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the

(p_1,p_2,\ldots,p_m)

-Laplacian on Time Scales

Xiaofei He, Qi-Ming Zhang

J. Appl. Math. 2011: 1-10 (2011). DOI: 10.1155/2011/418136

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Abstract

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

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Xiaofei He. Qi-Ming Zhang. "Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the $(p_1,p_2,\ldots,p_m)$ -Laplacian on Time Scales." J. Appl. Math. 2011 1 - 10, 2011. https://doi.org/10.1155/2011/418136