Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and Applications
Some delta-nabla type maximum principles for second-order dynamic equations on time scales are proved. By using these maximum principles, the uniqueness theorems of the solutions, the approximation theorems of the solutions, the existence theorem, and construction techniques of the lower and upper s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/165429 |
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| _version_ | 1832548516048666624 |
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| author | Jiang Zhu Dongmei Liu |
| author_facet | Jiang Zhu Dongmei Liu |
| author_sort | Jiang Zhu |
| collection | DOAJ |
| description | Some delta-nabla type maximum principles for second-order dynamic equations on time scales are proved. By using these maximum principles, the uniqueness theorems of the solutions, the approximation theorems of the solutions, the existence theorem, and construction techniques of the lower and upper solutions for second-order linear and nonlinear initial value problems and boundary value problems on time scales are proved, the oscillation of second-order mixed delat-nabla differential equations is discussed and, some maximum principles for second order mixed forward and backward difference dynamic system are proved. |
| format | Article |
| id | doaj-art-073762e8e6414e5eac655d13266b4107 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-073762e8e6414e5eac655d13266b41072025-02-03T06:13:47ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/165429165429Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and ApplicationsJiang Zhu0Dongmei Liu1School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, ChinaSome delta-nabla type maximum principles for second-order dynamic equations on time scales are proved. By using these maximum principles, the uniqueness theorems of the solutions, the approximation theorems of the solutions, the existence theorem, and construction techniques of the lower and upper solutions for second-order linear and nonlinear initial value problems and boundary value problems on time scales are proved, the oscillation of second-order mixed delat-nabla differential equations is discussed and, some maximum principles for second order mixed forward and backward difference dynamic system are proved.http://dx.doi.org/10.1155/2014/165429 |
| spellingShingle | Jiang Zhu Dongmei Liu Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and Applications Abstract and Applied Analysis |
| title | Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and Applications |
| title_full | Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and Applications |
| title_fullStr | Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and Applications |
| title_full_unstemmed | Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and Applications |
| title_short | Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and Applications |
| title_sort | delta nabla type maximum principles for second order dynamic equations on time scales and applications |
| url | http://dx.doi.org/10.1155/2014/165429 |
| work_keys_str_mv | AT jiangzhu deltanablatypemaximumprinciplesforsecondorderdynamicequationsontimescalesandapplications AT dongmeiliu deltanablatypemaximumprinciplesforsecondorderdynamicequationsontimescalesandapplications |