First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales
This work is concerned with the following first-order dynamic equation on time scale , xΔ(t)+p(t)x(σ(t))=f(t,x(t)), t∈[0,T]𝕋 with the nonlinear boundary condition x(0)=g(x(σ(T))). By applying monotone iteration method, we not only obtain the existence of positive solutions, but also e...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/845107 |
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| _version_ | 1832552620208685056 |
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| author | Ya-Hong Zhao |
| author_facet | Ya-Hong Zhao |
| author_sort | Ya-Hong Zhao |
| collection | DOAJ |
| description | This work is concerned with the following first-order dynamic equation on time scale ,
xΔ(t)+p(t)x(σ(t))=f(t,x(t)), t∈[0,T]𝕋
with the nonlinear boundary condition
x(0)=g(x(σ(T))).
By applying monotone iteration method, we not only obtain the existence of positive solutions, but also establish iterative schemes for approximating the solutions. |
| format | Article |
| id | doaj-art-1bc5600d3fd74de9b52ae3810c833897 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-1bc5600d3fd74de9b52ae3810c8338972025-02-03T05:58:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/845107845107First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time ScalesYa-Hong Zhao0Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaThis work is concerned with the following first-order dynamic equation on time scale , xΔ(t)+p(t)x(σ(t))=f(t,x(t)), t∈[0,T]𝕋 with the nonlinear boundary condition x(0)=g(x(σ(T))). By applying monotone iteration method, we not only obtain the existence of positive solutions, but also establish iterative schemes for approximating the solutions.http://dx.doi.org/10.1155/2011/845107 |
| spellingShingle | Ya-Hong Zhao First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales Discrete Dynamics in Nature and Society |
| title | First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales |
| title_full | First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales |
| title_fullStr | First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales |
| title_full_unstemmed | First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales |
| title_short | First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales |
| title_sort | first order boundary value problem with nonlinear boundary condition on time scales |
| url | http://dx.doi.org/10.1155/2011/845107 |
| work_keys_str_mv | AT yahongzhao firstorderboundaryvalueproblemwithnonlinearboundaryconditionontimescales |