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Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations |
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| Authors: | Juan?J.?Nieto mailto:amnieto@usc.es" title=" amnieto@usc.es" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Rosana?Rodríguez-López |
| Affiliation: | (1) Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain |
| Abstract: | We prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions admitting only the existence of a lower solution. To this aim, we prove an appropriate fixed point theorem in partially ordered sets. ★ Partially supported by Ministerio de Ciencia y Tecnología/ FEDER, project BFM2001-3884-C02-01; and by Xunta de Galicia/ FEDER, project PGIDIT02PXIC20703PN. |
| Keywords: | fixed point partially ordered set first-order differential equation lower and upper solutions |
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