Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory
We establish a fixed point theorem with w-distance for nonlinear contractive mappings in complete metric spaces. As applications of our results, we derive the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions. Here, we need not as...
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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/10.1155/2014/309613 |
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| _version_ | 1849685052043034624 |
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| author | Fei He |
| author_facet | Fei He |
| author_sort | Fei He |
| collection | DOAJ |
| description | We establish a fixed point theorem with w-distance for nonlinear contractive mappings in complete metric spaces. As applications of our results, we derive the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions. Here, we need not assume that the equation has a lower solution. |
| format | Article |
| id | doaj-art-c240f83f6b6d43908d4f52ea2bc40d00 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c240f83f6b6d43908d4f52ea2bc40d002025-08-20T03:23:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/309613309613Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point TheoryFei He0School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaWe establish a fixed point theorem with w-distance for nonlinear contractive mappings in complete metric spaces. As applications of our results, we derive the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions. Here, we need not assume that the equation has a lower solution.http://dx.doi.org/10.1155/2014/309613 |
| spellingShingle | Fei He Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory Abstract and Applied Analysis |
| title | Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory |
| title_full | Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory |
| title_fullStr | Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory |
| title_full_unstemmed | Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory |
| title_short | Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory |
| title_sort | some notes on the existence of solution for ordinary differential equations via fixed point theory |
| url | http://dx.doi.org/10.1155/2014/309613 |
| work_keys_str_mv | AT feihe somenotesontheexistenceofsolutionforordinarydifferentialequationsviafixedpointtheory |