Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays
We study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation (d/dt)(x'(t)/1+x't2) +∑i=1naitgxt-τit=pt. By using Mawhin's continuation theorem, a new result is obtained. Furthermore, the nonexistence of periodic solution for the equation...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/909252 |
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| _version_ | 1832556670313562112 |
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| author | Shiping Lu Ming Lu |
| author_facet | Shiping Lu Ming Lu |
| author_sort | Shiping Lu |
| collection | DOAJ |
| description | We study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation (d/dt)(x'(t)/1+x't2) +∑i=1naitgxt-τit=pt. By using Mawhin's continuation theorem, a new result is obtained. Furthermore, the nonexistence of periodic solution for the equation is investigated as well. |
| format | Article |
| id | doaj-art-5426f8abeaaf4bd6b4dc816e812e374c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5426f8abeaaf4bd6b4dc816e812e374c2025-02-03T05:44:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/909252909252Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple DelaysShiping Lu0Ming Lu1College of Math and Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, ChinaDepartment of Mathematics, Anhui Normal University, Wuhu 241000, ChinaWe study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation (d/dt)(x'(t)/1+x't2) +∑i=1naitgxt-τit=pt. By using Mawhin's continuation theorem, a new result is obtained. Furthermore, the nonexistence of periodic solution for the equation is investigated as well.http://dx.doi.org/10.1155/2014/909252 |
| spellingShingle | Shiping Lu Ming Lu Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays Journal of Applied Mathematics |
| title | Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays |
| title_full | Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays |
| title_fullStr | Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays |
| title_full_unstemmed | Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays |
| title_short | Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays |
| title_sort | periodic solutions for a prescribed mean curvature equation with multiple delays |
| url | http://dx.doi.org/10.1155/2014/909252 |
| work_keys_str_mv | AT shipinglu periodicsolutionsforaprescribedmeancurvatureequationwithmultipledelays AT minglu periodicsolutionsforaprescribedmeancurvatureequationwithmultipledelays |