Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales
We study the following third-order p-Laplacian functional dynamic equation on time scales: Φp(uΔ∇(t))∇+a(t)f(u(t),u(μ(t)))=0, t∈0,TT, u(t)=φ(t), t∈-r,0T, uΔ(0)=uΔ∇(T)=0, and u(T)+B0(uΔ(η))=0. By applying the Five-Functional Fixed Point Theorem, the existence criteria of three positive solutions a...
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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/10.1155/2014/676052 |
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| author | Wen Guan Da-Bin Wang |
| author_facet | Wen Guan Da-Bin Wang |
| author_sort | Wen Guan |
| collection | DOAJ |
| description | We study the following third-order p-Laplacian functional dynamic equation on time scales: Φp(uΔ∇(t))∇+a(t)f(u(t),u(μ(t)))=0, t∈0,TT, u(t)=φ(t), t∈-r,0T, uΔ(0)=uΔ∇(T)=0, and u(T)+B0(uΔ(η))=0. By applying the Five-Functional Fixed Point Theorem, the existence criteria of three positive solutions are established. |
| format | Article |
| id | doaj-art-82ee4423ee6d4fd79406e4e60bbed693 |
| 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-82ee4423ee6d4fd79406e4e60bbed6932025-02-03T01:32:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/676052676052Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time ScalesWen Guan0Da-Bin Wang1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaWe study the following third-order p-Laplacian functional dynamic equation on time scales: Φp(uΔ∇(t))∇+a(t)f(u(t),u(μ(t)))=0, t∈0,TT, u(t)=φ(t), t∈-r,0T, uΔ(0)=uΔ∇(T)=0, and u(T)+B0(uΔ(η))=0. By applying the Five-Functional Fixed Point Theorem, the existence criteria of three positive solutions are established.http://dx.doi.org/10.1155/2014/676052 |
| spellingShingle | Wen Guan Da-Bin Wang Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales Abstract and Applied Analysis |
| title | Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales |
| title_full | Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales |
| title_fullStr | Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales |
| title_full_unstemmed | Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales |
| title_short | Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales |
| title_sort | positive solutions for third order p laplacian functional dynamic equations on time scales |
| url | http://dx.doi.org/10.1155/2014/676052 |
| work_keys_str_mv | AT wenguan positivesolutionsforthirdorderplaplacianfunctionaldynamicequationsontimescales AT dabinwang positivesolutionsforthirdorderplaplacianfunctionaldynamicequationsontimescales |