Solution to a Nonlinear Differential Equation With Application to Thomas-Fermi Equations

James L. Reid

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1972)

  • Volume: 53, Issue: 5, page 376-379
  • ISSN: 0392-7881

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Reid, James L.. "Solution to a Nonlinear Differential Equation With Application to Thomas-Fermi Equations." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 53.5 (1972): 376-379. <http://eudml.org/doc/295897>.

@article{Reid1972,
author = {Reid, James L.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {11},
number = {5},
pages = {376-379},
publisher = {Accademia Nazionale dei Lincei},
title = {Solution to a Nonlinear Differential Equation With Application to Thomas-Fermi Equations},
url = {http://eudml.org/doc/295897},
volume = {53},
year = {1972},
}

TY - JOUR
AU - Reid, James L.
TI - Solution to a Nonlinear Differential Equation With Application to Thomas-Fermi Equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1972/11//
PB - Accademia Nazionale dei Lincei
VL - 53
IS - 5
SP - 376
EP - 379
LA - eng
UR - http://eudml.org/doc/295897
ER -

References

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  1. THOMAS, J. M., Equations equivalent to a linear differential equation, «Proc. Amer. Math. Soc.», 3, 899-903 (1952). Zbl0048.32203MR52001DOI10.2307/2031734
  2. HERBST, R. T., The equivalence of linear and nonlinear differential equations, «Proc Amer. Math. Soc.», 7, 95-97 (1956). Zbl0070.30703MR76115DOI10.2307/2033251
  3. PINNEY, E., The nonlinear differential equation y ′′ + p ( x ) y + c y - 3 = 0 «Proc. Amer. Math Soc.», 1, 681 (1950). Zbl0038.24303MR37979DOI10.2307/2032300
  4. THOMAS, L. H., The calculation of atomic fields, «Proc. Cambridge Phil. Soc.», 23, 542-548 (1927). Zbl53.0868.04
  5. SCORZA-DRAGONI, G., Su un'equazione differenziale particolare, «Rend. Accad. Naz. dei Lincei, Cl. Sci. fis. mat. e nat.», 9 (6), 623-625 (1929). 
  6. MAMBRIANI, A., Su un teorema relativo alle equazioni differenziali ordinarie del 2° ordine, «Rend. Accad. Naz. dei Lincei, Cl. Sci. fis. mat. e nat.», 9 (6), 620-626 (1929). 
  7. HILLE, E., Some aspects of the Thomas-Fermi equation, «Journal d'Analyse Math.», 23, 147-170 (1970). Zbl0208.11501MR279376DOI10.1007/BF02795497
  8. HILLE, E., On a class of non-linear second order differential equations, «Rev. Un. Mat. Argentina», 25, 319-334 (1971). Zbl0289.34014MR322239
  9. HILLE, E., Pseudo-poles in the theory of Emden's equation, «Proc. Nat. Acad. Sci. USA», 69, 1271-1272 (1972). Zbl0239.34005MR294807DOI10.1073/pnas.69.5.1271

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