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Green's Functions and Infinite Products pp 85–120Cite as

Eigenfunction Expansion

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Abstract

Having departed for a while from the main focus of the book in the previous chapter, where the emphasis was on ordinary differential equations, we are going to return in the present chapter to partial differential equations. The reader will be provided with a comprehensive review of another approach that has been traditionally employed for the construction of Green’s functions for partial differential equations. The method of eigenfunction expansion will be used, representing one of the most productive and recommended methods in the field.

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References

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Authors and Affiliations

  1. Department of Mathematical Sciences Computational Sciences Program, Middle Tennessee State University, Murfreesboro, TN, 37132-0001, USA

    Yuri A. Melnikov

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  1. Yuri A. Melnikov
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Correspondence to Yuri A. Melnikov .

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© 2011 Springer Science+Business Media, LLC

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Melnikov, Y.A. (2011). Eigenfunction Expansion. In: Green's Functions and Infinite Products. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8280-4_5

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