Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Functional analysis and the method of harmonic balance

Authors: C. A. Borges, L. Cesari and D. A. Sánchez
Journal: Quart. Appl. Math. 32 (1975), 457-464
MSC: Primary 47H15; Secondary 34C25
DOI: https://doi.org/10.1090/qam/477907
MathSciNet review: 477907
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References [Enhancements On Off] (What's this?)

  • [1] C. A. Borges, Periodic solutions of nonlinear differential equations: existence and error bounds, Ph.D. dissertation, University of Michigan, 1963
  • [2] Lamberto Cesari, Functional analysis and differential equations, Advances in differential and integral equations (Conf. Qualitative Theory of Nonlinear Differential and Integral Equations, Univ. Wisconsin, Madison, Wis., 1968; in memoriam Rudolph E. Langer (1894-1968)), Soc. Indust. Appl. Math., Philadelphia, Pa., 1969, pp. 143–155. Studies in Appl. Math., No. 5. MR 0380535
  • [3] W. J. Cunningham, Introduction to nonlinear analysis, McGraw-Hill Electrical and Electronic Engineering Series, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1958. MR 0093611
  • [4] N. Kryloff and N. Bogoliuboff, Introduction to nonlinear mechanics (translated by S. Lefschetz), Annals of Mathematics Study No. 11, Princeton University Press, Princeton, 1947
  • [5] 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

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DOI: https://doi.org/10.1090/qam/477907
Article copyright: © Copyright 1975 American Mathematical Society

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