Skip to main content

Differential Equations

  • Chapter
Field Theory Handbook

Abstract

Previous sections have treated the separation of the Laplace and Helmholtz equations in 40 coordinate systems. In this section, all the separation equations are tabulated in a systematic manner. Each equation is designated in terms of its singularities in the complex plane, and the general solutions of the differential equations are listed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Klein, F.: Vorlesungen über lineare Differentialgleichungen der zweiten Ordnung. Göttingen: E. Ritter 1894.

    Google Scholar 

  2. Bôcher, M.: Über die Reihenentwickelungen der Potentialtheorie. Leipzig: B. G. Teubner 1894.

    Google Scholar 

  3. Ince, E. L.: Ordinary differential equations, Chap. 20. London: I.,ongmans, Green & Co. 1927.

    Google Scholar 

  4. Moon, P., and D. E. Spencer: On the specification of Bâcher equations. J. Franklin Inst. 260, 41 (1955).

    Article  MathSciNet  Google Scholar 

  5. Moon, P., and D. E. Spencer: On the classification of the ordinary differential equations of field theory. Quart. Appl. Math. 14, 1 (1956).

    MathSciNet  MATH  Google Scholar 

  6. Moon, P., and D. E. Spencer: Field theory for engineers, Chap. 5. Princeton, N. J.: D. Van Nostrand Co. 1961.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1961 Springer-Verlag OHG / Berlin · Göttingen · Heidelberg

About this chapter

Cite this chapter

Moon, P., Spencer, D.E. (1961). Differential Equations. In: Field Theory Handbook. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53060-9_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-53060-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53062-3

  • Online ISBN: 978-3-642-53060-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics