Green’s Functions for Reducible Functional Differential Equations
In this work, we study differential problems in which the reflection operator and the Hilbert transform are involved. We reduce these problems to ODEs in order to solve them. Also, we describe a general method for obtaining the Green’s function of reducible functional differential equations and illu...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:minerva.usc.gal:10347/45449 |
| Acceso en línea: | https://hdl.handle.net/10347/45449 |
| Access Level: | acceso abierto |
| Palabra clave: | Equations with involutions Equations with reflection Green’s functions Hilbert transform Reducible functional differential equations Algebraic analysis 1202 Análisis y análisis funcional |
| Sumario: | In this work, we study differential problems in which the reflection operator and the Hilbert transform are involved. We reduce these problems to ODEs in order to solve them. Also, we describe a general method for obtaining the Green’s function of reducible functional differential equations and illustrate it with the case of homogeneous boundary value problems with reflection and several specific examples. |
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