Fixed Points and Stability in Nonlinear Equations with Variable Delays
<p/> <p>We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/195916 |
| _version_ | 1818741623238950912 |
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| author | Ding Liming Li Xiang Li Zhixiang |
| author_facet | Ding Liming Li Xiang Li Zhixiang |
| author_sort | Ding Liming |
| collection | DOAJ |
| description | <p/> <p>We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory.</p> |
| first_indexed | 2024-12-18T01:59:34Z |
| format | Article |
| id | doaj.art-c012b99d999e4de4a6bb17bb309872c2 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-18T01:59:34Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-c012b99d999e4de4a6bb17bb309872c22022-12-21T21:24:48ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101195916Fixed Points and Stability in Nonlinear Equations with Variable DelaysDing LimingLi XiangLi Zhixiang<p/> <p>We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory.</p>http://www.fixedpointtheoryandapplications.com/content/2010/195916 |
| spellingShingle | Ding Liming Li Xiang Li Zhixiang Fixed Points and Stability in Nonlinear Equations with Variable Delays Fixed Point Theory and Applications |
| title | Fixed Points and Stability in Nonlinear Equations with Variable Delays |
| title_full | Fixed Points and Stability in Nonlinear Equations with Variable Delays |
| title_fullStr | Fixed Points and Stability in Nonlinear Equations with Variable Delays |
| title_full_unstemmed | Fixed Points and Stability in Nonlinear Equations with Variable Delays |
| title_short | Fixed Points and Stability in Nonlinear Equations with Variable Delays |
| title_sort | fixed points and stability in nonlinear equations with variable delays |
| url | http://www.fixedpointtheoryandapplications.com/content/2010/195916 |
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