Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses

Kun-Wen Wen; Gen-Qiang Wang; Sui Sun Cheng

doi:10.1155/2010/562634

Abstract and Applied Analysis (Jan 2010)

Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses

Kun-Wen Wen,
Gen-Qiang Wang,
Sui Sun Cheng

Affiliations

Kun-Wen Wen: Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, Guangdong 510665, China
Gen-Qiang Wang: Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, Guangdong 510665, China
Sui Sun Cheng: Department of Mathematics, Tsing Hua University, Hsinchu 30043, Taiwan

DOI: https://doi.org/10.1155/2010/562634
Journal volume & issue: Vol. 2010

Abstract

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Solutions of quite a few higher-order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third-order nonlinear differential equation with impulses.

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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