Maximum Principles for Dynamic Equations on Time Scales and Their Applications
We consider the second dynamic operators of elliptic type on time scales. We establish basic generalized maximum principles and apply them to obtain weak comparison principle for second dynamic elliptic operators and to obtain the uniqueness of Dirichlet boundary value problems for dynamic elliptic...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/434582 |
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| _version_ | 1849408748413517824 |
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| author | Shuqing Zhou Hui Li |
| author_facet | Shuqing Zhou Hui Li |
| author_sort | Shuqing Zhou |
| collection | DOAJ |
| description | We consider the second dynamic operators of elliptic type on time scales. We establish basic generalized maximum principles and apply them to obtain weak comparison principle for second dynamic elliptic operators and to obtain the uniqueness of Dirichlet boundary value problems for dynamic elliptic equations. |
| format | Article |
| id | doaj-art-7a543aeaddcc4e728883ae3c1c8b8f79 |
| 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-7a543aeaddcc4e728883ae3c1c8b8f792025-08-20T03:35:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/434582434582Maximum Principles for Dynamic Equations on Time Scales and Their ApplicationsShuqing Zhou0Hui Li1College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing of Ministry of Education of China, Hunan Normal University, Changsha, Hunan 410081, ChinaCollege of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing of Ministry of Education of China, Hunan Normal University, Changsha, Hunan 410081, ChinaWe consider the second dynamic operators of elliptic type on time scales. We establish basic generalized maximum principles and apply them to obtain weak comparison principle for second dynamic elliptic operators and to obtain the uniqueness of Dirichlet boundary value problems for dynamic elliptic equations.http://dx.doi.org/10.1155/2014/434582 |
| spellingShingle | Shuqing Zhou Hui Li Maximum Principles for Dynamic Equations on Time Scales and Their Applications Journal of Applied Mathematics |
| title | Maximum Principles for Dynamic Equations on Time Scales and Their Applications |
| title_full | Maximum Principles for Dynamic Equations on Time Scales and Their Applications |
| title_fullStr | Maximum Principles for Dynamic Equations on Time Scales and Their Applications |
| title_full_unstemmed | Maximum Principles for Dynamic Equations on Time Scales and Their Applications |
| title_short | Maximum Principles for Dynamic Equations on Time Scales and Their Applications |
| title_sort | maximum principles for dynamic equations on time scales and their applications |
| url | http://dx.doi.org/10.1155/2014/434582 |
| work_keys_str_mv | AT shuqingzhou maximumprinciplesfordynamicequationsontimescalesandtheirapplications AT huili maximumprinciplesfordynamicequationsontimescalesandtheirapplications |