Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

On the classification of the ordinary differential equations of field theory


Authors: Parry Moon and Domina Eberle Spencer
Journal: Quart. Appl. Math. 14 (1956), 1-10
MSC: Primary 35.0X
DOI: https://doi.org/10.1090/qam/77763
MathSciNet review: 77763
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] P. Moon and D. E. Spencer, Theorems on separability in Riemannian n-space, Proc. Amer. Math. Soc. 3, 635 (1952); Recent investigations of the separation of Laplace's equation, Proc. Amer. Math. Soc. 4, 302 (1953) MR 0049439
  • [2] E. L. Ince, Ordinary differential equations, Longmans, Green and Co., London, 1927, p. 494
  • [3] A. R. Forsyth, Theory of differential equations, Cambridge University Press, 1902, Vol. IV, p. 161
  • [4] E. T. Whittaker and G. N. Watson, Modern analysis, Cambridge University Press, 1946, p. 203
  • [5] M. Bôcher, Über die Reihenentwickelungen der Potentialtheorie, B. G. Teubner, Leipzig, 1894
  • [6] L. P. Eisenhart, Separable systems of Stäckel, Ann. of Math. 35, 284 (1934) MR 1503163
  • [7] P. Moon and D. E. Spencer, Some coordinate systems associated with elliptic functions, J. Franklin Inst. 255, 531 (1953) MR 0057392
  • [8] P. Moon and D. E. Spencer, Separability conditions for the Laplace and Helmholtz equations, J. Franklin Inst. 253, 585 (1952); Separability in a class of coordinate systems, J. Franklin Inst., 254, 227 (1952) MR 0049437
  • [9] P. Moon and D. E. Spencer, Cylindrical and rotational coordinate systems, J. Franklin Inst. 252, 327 (1951) MR 0043157
  • [10] P. Moon and D. E. Spencer, On the specification of Bôcher equations, to be published in J. Franklin. Inst. MR 0069980
  • [11] D. E. Spencer, Separation of variables in electromagnetic theory, J. Appl. Phys. 22, 386 (1951) MR 0041707

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 35.0X

Retrieve articles in all journals with MSC: 35.0X


Additional Information

DOI: https://doi.org/10.1090/qam/77763
Article copyright: © Copyright 1956 American Mathematical Society

American Mathematical Society