Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays
By using the Leray-Schauder fixed point theorem and differential inequality techniques, several new sufficient conditions are obtained for the existence and global exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with discrete and distributed delays...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/915451 |
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| _version_ | 1849412708463542272 |
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| author | Xinsong Yang Jinde Cao Chuangxia Huang Yao Long |
| author_facet | Xinsong Yang Jinde Cao Chuangxia Huang Yao Long |
| author_sort | Xinsong Yang |
| collection | DOAJ |
| description | By using the Leray-Schauder fixed point theorem and differential inequality techniques,
several new sufficient conditions are obtained for the existence and global exponential
stability of almost periodic solutions for shunting inhibitory cellular neural networks with
discrete and distributed delays. The model in this paper possesses two characters: nonlinear
behaved functions and all coefficients are time varying. Hence, our model is general and
applicable to many known models. Moreover, our main results are also general and can be
easily deduced to many simple cases, including some existing results. An example and its
simulation are employed to illustrate our feasible results. |
| format | Article |
| id | doaj-art-5d87e032fc944db098df335583ee5f87 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5d87e032fc944db098df335583ee5f872025-08-20T03:34:21ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/915451915451Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed DelaysXinsong Yang0Jinde Cao1Chuangxia Huang2Yao Long3Department of Mathematics, Honghe University, Mengzi Yunnan 661100, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaDepartment of Mathematics, College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, ChinaDepartment of Mathematics, Honghe University, Mengzi Yunnan 661100, ChinaBy using the Leray-Schauder fixed point theorem and differential inequality techniques, several new sufficient conditions are obtained for the existence and global exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with discrete and distributed delays. The model in this paper possesses two characters: nonlinear behaved functions and all coefficients are time varying. Hence, our model is general and applicable to many known models. Moreover, our main results are also general and can be easily deduced to many simple cases, including some existing results. An example and its simulation are employed to illustrate our feasible results.http://dx.doi.org/10.1155/2010/915451 |
| spellingShingle | Xinsong Yang Jinde Cao Chuangxia Huang Yao Long Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays Abstract and Applied Analysis |
| title | Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays |
| title_full | Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays |
| title_fullStr | Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays |
| title_full_unstemmed | Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays |
| title_short | Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays |
| title_sort | existence and global exponential stability of almost periodic solutions for sicnns with nonlinear behaved functions and mixed delays |
| url | http://dx.doi.org/10.1155/2010/915451 |
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