The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces
By introducing new definitions of ϕ convex and -φ concave quasioperator and v0 quasilower and u0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed monotone Fredholm-type integral equations in Banac...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/604105 |
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| _version_ | 1832552551041466368 |
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| author | Hua Su |
| author_facet | Hua Su |
| author_sort | Hua Su |
| collection | DOAJ |
| description | By introducing new definitions of ϕ convex and -φ concave quasioperator and v0 quasilower and u0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed monotone Fredholm-type integral equations in Banach spaces. Our results are even new to ϕ convex and -φ concave quasi operator, and then we apply these results to the two-point boundary value problem of second-order nonlinear ordinary differential equations in the ordered Banach spaces. |
| format | Article |
| id | doaj-art-20d0358a48f5408195b32e71163c3b83 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-20d0358a48f5408195b32e71163c3b832025-02-03T05:58:23ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/604105604105The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach SpacesHua Su0School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, Shandong 250014, ChinaBy introducing new definitions of ϕ convex and -φ concave quasioperator and v0 quasilower and u0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed monotone Fredholm-type integral equations in Banach spaces. Our results are even new to ϕ convex and -φ concave quasi operator, and then we apply these results to the two-point boundary value problem of second-order nonlinear ordinary differential equations in the ordered Banach spaces.http://dx.doi.org/10.1155/2013/604105 |
| spellingShingle | Hua Su The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces Discrete Dynamics in Nature and Society |
| title | The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces |
| title_full | The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces |
| title_fullStr | The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces |
| title_full_unstemmed | The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces |
| title_short | The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces |
| title_sort | solutions of mixed monotone fredholm type integral equations in banach spaces |
| url | http://dx.doi.org/10.1155/2013/604105 |
| work_keys_str_mv | AT huasu thesolutionsofmixedmonotonefredholmtypeintegralequationsinbanachspaces AT huasu solutionsofmixedmonotonefredholmtypeintegralequationsinbanachspaces |