On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales

Qiao-Luan Li; Wing-Sum Cheung; Xu-Yang Fu

doi:10.1155/2013/830595

Abstract and Applied Analysis (Jan 2013)

On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales

Qiao-Luan Li,
Wing-Sum Cheung,
Xu-Yang Fu

Affiliations

Qiao-Luan Li: College of Mathematics & Information Science, Hebei Normal University, Shijiazhuang 050024, China
Wing-Sum Cheung: Department of Mathematics, The University of Hong Kong, Hong Kong
Xu-Yang Fu: College of Mathematics & Information Science, Hebei Normal University, Shijiazhuang 050024, China

DOI: https://doi.org/10.1155/2013/830595
Journal volume & issue: Vol. 2013

Abstract

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We establish some new Lyapunov-type inequalities for two-dimensional nonlinear dynamic systems on time scales. As for application, boundedness of the Emden-Fowler-type equation is proved.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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