Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



The use of the contraction mapping theorem with derivatives in a Banach space

Author: J. M. Holtzman
Journal: Quart. Appl. Math. 26 (1968), 462-465
MSC: Primary 47.85; Secondary 34.00
DOI: https://doi.org/10.1090/qam/233246
MathSciNet review: 233246
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  • [1] L. V. Kantorovich and G. P. Akilov, Functional analysis in normed spaces, Translated from the Russian by D. E. Brown. Edited by A. P. Robertson. International Series of Monographs in Pure and Applied Mathematics, Vol. 46, The Macmillan Co., New York, 1964. MR 0213845
  • [2] L. A. Liusternik and V. J. Sobolev, Elements of functional analysis, Russian Monographs and Texts on Advanced Mathematics and Physics, Vol. 5, Hindustan Publishing Corp., Delhi; Gordon and Breach Publishers, Inc., New York, 1961. MR 0141967
  • [3] J. J. Stoker, Nonlinear Vibrations in Mechanical and Electrical Systems, Interscience Publishers, Inc., New York, N.Y., 1950. MR 0034932
  • [4] A. Halanay, Differential equations: Stability, oscillations, time lags, Academic Press, New York-London, 1966. MR 0216103
  • [5] N. W. McLachlan, Ordinary non-linear differential equations in engineering and physical sciences. 2nd ed, Oxford University Press, New York, 1956. MR 0093612
  • [6] Jack M. Holtzman, CONTRACTION MAPS AND EQUIVALENT LINEARIZATION, ProQuest LLC, Ann Arbor, MI, 1967. Thesis (Ph.D.)–Polytechnic University. MR 2616415

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DOI: https://doi.org/10.1090/qam/233246
Article copyright: © Copyright 1968 American Mathematical Society

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