arXiv:1411.5507 Abstract | arXiv Analytics

arXiv:1411.5507 [math.CA]Abstract References Reviews Resources

An algebraic method of obtaining the Green's function for some reducible functional differential equations

Published 2014-11-20Version 1

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.

Comments: Preprint

Categories: math.CA

Subjects: 34B27, 34C20, 34A25

Keywords: reducible functional differential equations, greens function, algebraic method, study differential problems, homogeneous boundary value problems

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