Higher-Order Dynamic Delay Differential Equations on Time Scales
We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/939162 |
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| _version_ | 1832555505077190656 |
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| author | Hua Su Lishan Liu Xinjun Wang |
| author_facet | Hua Su Lishan Liu Xinjun Wang |
| author_sort | Hua Su |
| collection | DOAJ |
| description | We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem with p-Laplacian operator are obtained. |
| format | Article |
| id | doaj-art-f1b82ef0f8e94e459eefab4b3f8bc3f8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f1b82ef0f8e94e459eefab4b3f8bc3f82025-02-03T05:48:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/939162939162Higher-Order Dynamic Delay Differential Equations on Time ScalesHua Su0Lishan Liu1Xinjun Wang2School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Economics, Shandong University, Jinan 250014, ChinaWe study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem with p-Laplacian operator are obtained.http://dx.doi.org/10.1155/2012/939162 |
| spellingShingle | Hua Su Lishan Liu Xinjun Wang Higher-Order Dynamic Delay Differential Equations on Time Scales Journal of Applied Mathematics |
| title | Higher-Order Dynamic Delay Differential Equations on Time Scales |
| title_full | Higher-Order Dynamic Delay Differential Equations on Time Scales |
| title_fullStr | Higher-Order Dynamic Delay Differential Equations on Time Scales |
| title_full_unstemmed | Higher-Order Dynamic Delay Differential Equations on Time Scales |
| title_short | Higher-Order Dynamic Delay Differential Equations on Time Scales |
| title_sort | higher order dynamic delay differential equations on time scales |
| url | http://dx.doi.org/10.1155/2012/939162 |
| work_keys_str_mv | AT huasu higherorderdynamicdelaydifferentialequationsontimescales AT lishanliu higherorderdynamicdelaydifferentialequationsontimescales AT xinjunwang higherorderdynamicdelaydifferentialequationsontimescales |