Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales
A class of shunting inhibitory cellular neural networks of neutral type with time-varying delays in the leakage term on time scales is proposed. Based on the exponential dichotomy of linear dynamic equations on time scales, fixed point theorems, and calculus on time scales we obtain some sufficient...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/496396 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850166417474715648 |
|---|---|
| author | Yongkun Li Lei Wang Yu Fei |
| author_facet | Yongkun Li Lei Wang Yu Fei |
| author_sort | Yongkun Li |
| collection | DOAJ |
| description | A class of shunting inhibitory cellular neural networks of neutral type with time-varying delays in the leakage term on time scales is proposed. Based on the exponential dichotomy of linear dynamic equations on time scales, fixed point theorems, and calculus on time scales we obtain some sufficient conditions for the existence and global exponential stability of periodic solutions for that class of neural networks. The results of this paper are completely new and complementary to the previously known results even if the time scale 𝕋=ℝ or ℤ. Moreover, we present illustrative numerical examples to show the feasibility of our results. |
| format | Article |
| id | doaj-art-e06eb6ce2ace418dac8e7c4a55fcdb6e |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e06eb6ce2ace418dac8e7c4a55fcdb6e2025-08-20T02:21:28ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/496396496396Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time ScalesYongkun Li0Lei Wang1Yu Fei2Department of Mathematics, Yunnan University, Kunming, Yunnan 650221, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650221, ChinaSchool of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, ChinaA class of shunting inhibitory cellular neural networks of neutral type with time-varying delays in the leakage term on time scales is proposed. Based on the exponential dichotomy of linear dynamic equations on time scales, fixed point theorems, and calculus on time scales we obtain some sufficient conditions for the existence and global exponential stability of periodic solutions for that class of neural networks. The results of this paper are completely new and complementary to the previously known results even if the time scale 𝕋=ℝ or ℤ. Moreover, we present illustrative numerical examples to show the feasibility of our results.http://dx.doi.org/10.1155/2014/496396 |
| spellingShingle | Yongkun Li Lei Wang Yu Fei Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales Journal of Applied Mathematics |
| title | Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales |
| title_full | Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales |
| title_fullStr | Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales |
| title_full_unstemmed | Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales |
| title_short | Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales |
| title_sort | periodic solutions for shunting inhibitory cellular neural networks of neutral type with time varying delays in the leakage term on time scales |
| url | http://dx.doi.org/10.1155/2014/496396 |
| work_keys_str_mv | AT yongkunli periodicsolutionsforshuntinginhibitorycellularneuralnetworksofneutraltypewithtimevaryingdelaysintheleakagetermontimescales AT leiwang periodicsolutionsforshuntinginhibitorycellularneuralnetworksofneutraltypewithtimevaryingdelaysintheleakagetermontimescales AT yufei periodicsolutionsforshuntinginhibitorycellularneuralnetworksofneutraltypewithtimevaryingdelaysintheleakagetermontimescales |