Green’s Functions for Reducible Functional Differential Equations

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2017_bmm_cabada_green.pdf (213.19 KB)
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URI: https://hdl.handle.net/10347/45449
ISSN: 0126-6705
E-ISSN: 2180-4206
DOI: 10.1007/s40840-016-0355-x

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2017-07

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Springer
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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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Equations with involutions| Equations with reflection| Green’s functions| Hilbert transform| Reducible functional differential equations| Algebraic analysis

Bibliographic citation

Cabada, A., Tojo, F.A.F. Green’s Functions for Reducible Functional Differential Equations. Bull. Malays. Math. Sci. Soc. 40, 1071–1092 (2017). https://doi.org/10.1007/s40840-016-0355-x

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Alberto Cabada research was partially supported by FEDER and Ministerio de Educación y Ciencia, Spain, project MTM2010-15314. F. Adrián F. Tojo research was supported by FPU scholarship, Ministerio de Educación, Cultura y Deporte, Spain

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)
Estatística, Análise Matemática e Optimización