Green’s Functions for ODE

Yuri A. Melnikov ()
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Yuri A. Melnikov: Middle Tennessee State University, Department of Mathematical Sciences Computational Sciences Program

Chapter Chapter 4 in Green's Functions and Infinite Products, 2011, pp 61-83 from Springer

Abstract: Abstract As was convincingly shown in Chap. 3 , the methods of images and conformal mapping are helpful in obtaining Green’s functions for the two-dimensional Laplace equation. But it is worth noting, at the same time, that the number of problems for which these methods are productive, is notably limited. To support this assertion, recall that mixed boundary-value problems with Robin conditions imposed on a piece of the boundary are not within the reach of these methods.

Date: 2011
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DOI: 10.1007/978-0-8176-8280-4_4

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