Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales
Let 𝕋 be a time scale with 0,T∈𝕋. We give a global description of the branches of positive solutions to the nonlinear boundary value problem of second-order dynamic equation on a time scale 𝕋, uΔΔ(t)+f(t,uσ(t))=0, t∈[0,T]𝕋, u(0)=u(σ2(T))=0, which is not necessarily linearizable. Our approaches are...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/316080 |
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| _version_ | 1832558956443074560 |
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| author | Hua Luo |
| author_facet | Hua Luo |
| author_sort | Hua Luo |
| collection | DOAJ |
| description | Let 𝕋 be a time scale with 0,T∈𝕋. We give a global description of the branches of positive solutions to the nonlinear boundary value problem of second-order dynamic equation on a time scale 𝕋, uΔΔ(t)+f(t,uσ(t))=0, t∈[0,T]𝕋, u(0)=u(σ2(T))=0, which is not necessarily linearizable. Our approaches are based on topological degree theory and global bifurcation techniques. |
| format | Article |
| id | doaj-art-c489b129f7d14fbd8c0b68cfdc5d123c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c489b129f7d14fbd8c0b68cfdc5d123c2025-02-03T01:31:15ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/316080316080Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time ScalesHua Luo0School of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian 116025, ChinaLet 𝕋 be a time scale with 0,T∈𝕋. We give a global description of the branches of positive solutions to the nonlinear boundary value problem of second-order dynamic equation on a time scale 𝕋, uΔΔ(t)+f(t,uσ(t))=0, t∈[0,T]𝕋, u(0)=u(σ2(T))=0, which is not necessarily linearizable. Our approaches are based on topological degree theory and global bifurcation techniques.http://dx.doi.org/10.1155/2012/316080 |
| spellingShingle | Hua Luo Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales Abstract and Applied Analysis |
| title | Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales |
| title_full | Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales |
| title_fullStr | Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales |
| title_full_unstemmed | Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales |
| title_short | Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales |
| title_sort | bifurcation from interval and positive solutions of a nonlinear second order dynamic boundary value problem on time scales |
| url | http://dx.doi.org/10.1155/2012/316080 |
| work_keys_str_mv | AT hualuo bifurcationfromintervalandpositivesolutionsofanonlinearsecondorderdynamicboundaryvalueproblemontimescales |