Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Branch points of solutions of equations in Banach space. II


Author: Jane Cronin
Journal: Trans. Amer. Math. Soc. 76 (1954), 207-222
MSC: Primary 46.0X
DOI: https://doi.org/10.1090/S0002-9947-1954-0062949-8
MathSciNet review: 0062949
Full-text PDF Free Access

References | Similar Articles | Additional Information

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

  • [1] P. Alexandroff and H. Hopf, Topologie 1, Berlin, 1935.
  • [2] J. Cronin, Branch points of solutions of equations in Banach space, Trans. Amer. Math. Soc. vol. 69 (1950) pp. 208-231. MR 0040578 (12:716b)
  • [3] -, The existence of multiple solutions of elliptic differential equations, Trans. Amer. Math. Soc. vol. 68 (1950) pp. 105-131. MR 0032891 (11:361f)
  • [4] T. H. Hildebrandt and L. M. Graves, Implicit functions and their differentials in general analysis, Trans. Amer. Math. Soc. vol. 29 (1927) pp. 127-153. MR 1501380
  • [5] C. C. MacDuffee, Vectors and matrices, Carus Mathematical Monographs, No. 7, Mathematical Association of America, 1943. MR 0008595 (5:30i)
  • [6] F. Riesz, Über lineare Funktionalgleichungen, Acta Math. vol. 41 (1918) pp. 71-98. MR 1555146
  • [7] A. Sard, The measure of the critical values of differentiable maps, Bull. Amer. Math. Soc. vol. 48 (1942) pp. 883-890. MR 0007523 (4:153c)
  • [8] J. Schauder, Über den Zusammenhang zwischen der Eindeutigkeit und Lösbarkeit partieller Differentialgleichungen zweiter Ordnung von elliptischen Typus, Math. Ann. vol. 106 (1932) pp. 661-721. MR 1512780

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 46.0X

Retrieve articles in all journals with MSC: 46.0X


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1954-0062949-8
Article copyright: © Copyright 1954 American Mathematical Society

American Mathematical Society