Antiperiodic Solutions for a Generalized High-Order (p,q)-Laplacian Neutral Differential System with Delays in the Critical Case
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...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/454619 |
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| author | Yongzhi Liao Tianwei Zhang Yongkun Li |
| author_facet | Yongzhi Liao Tianwei Zhang Yongkun Li |
| author_sort | Yongzhi Liao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0069933665f84c4b8ada83aa26fefcfd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0069933665f84c4b8ada83aa26fefcfd2025-02-03T05:59:26ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/454619454619Antiperiodic Solutions for a Generalized High-Order (p,q)-Laplacian Neutral Differential System with Delays in the Critical CaseYongzhi Liao0Tianwei Zhang1Yongkun Li2School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, ChinaCity College, Kunming University of Science and Technology, Kunming, Yunnan 650051, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaBy 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.http://dx.doi.org/10.1155/2013/454619 |
| spellingShingle | Yongzhi Liao Tianwei Zhang Yongkun Li Antiperiodic Solutions for a Generalized High-Order (p,q)-Laplacian Neutral Differential System with Delays in the Critical Case Abstract and Applied Analysis |
| title | Antiperiodic Solutions for a Generalized High-Order (p,q)-Laplacian Neutral Differential System with Delays in the Critical Case |
| title_full | Antiperiodic Solutions for a Generalized High-Order (p,q)-Laplacian Neutral Differential System with Delays in the Critical Case |
| title_fullStr | Antiperiodic Solutions for a Generalized High-Order (p,q)-Laplacian Neutral Differential System with Delays in the Critical Case |
| title_full_unstemmed | Antiperiodic Solutions for a Generalized High-Order (p,q)-Laplacian Neutral Differential System with Delays in the Critical Case |
| title_short | Antiperiodic Solutions for a Generalized High-Order (p,q)-Laplacian Neutral Differential System with Delays in the Critical Case |
| title_sort | antiperiodic solutions for a generalized high order p q laplacian neutral differential system with delays in the critical case |
| url | http://dx.doi.org/10.1155/2013/454619 |
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