Antiperiodic Solutions for a Generalized High-Order (p,q)-Laplacian Neutral Differential System with Delays in the Critical Case

Abstract and Applied Analysis. 2013;2013 DOI 10.1155/2013/454619


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Journal Title: Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)

Publisher: Hindawi Limited

LCC Subject Category: Science: Mathematics

Country of publisher: United Kingdom

Language of fulltext: English

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Yongzhi Liao (School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, China)
Tianwei Zhang (City College, Kunming University of Science and Technology, Kunming, Yunnan 650051, China)
Yongkun Li (Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China)


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Time From Submission to Publication: 27 weeks


Abstract | Full Text

By applying the method of coincidence degree, some criteria are established for the existence of antiperiodic solutions for a generalized high-order (p,q)-Laplacian neutral differential system with delays (φp((x(t)-cx(t-τ))(k)))(m-k)=F(t,xθ0(t),xθ1(t)′,…,xθk(t)(k),yϑ0(t),yϑ1(t)′,…,yϑl(t)(l)), (φq((y(t)-dy(t-σ))(l)))(n-l)=G(t,yμ0(t),yμ1(t)′,…,yμl(t)(l),xν0(t),xν1(t)′,…,xνk(t)(k)) in the critical case |c|=|d|=1. The results of this paper are completely new. Finally, an example is employed to illustrate our results.