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
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
C. A. Borges, Periodic solutions of nonlinear differential equations: existence and error bounds, Ph.D. dissertation, University of Michigan, 1963
- 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
- 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
N. Kryloff and N. Bogoliuboff, Introduction to nonlinear mechanics (translated by S. Lefschetz), Annals of Mathematics Study No. 11, Princeton University Press, Princeton, 1947
- 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
C. A. Borges, Periodic solutions of nonlinear differential equations: existence and error bounds, Ph.D. dissertation, University of Michigan, 1963
L. Cesari, Functional analysis and differential equations, Studies in Applied Mathematics 5, SIAM, 1969, 143–155
W. J. Cunningham, Introduction to nonlinear analysis, McGraw-Hill, New York, 1958
N. Kryloff and N. Bogoliuboff, Introduction to nonlinear mechanics (translated by S. Lefschetz), Annals of Mathematics Study No. 11, Princeton University Press, Princeton, 1947
L. Liusternik and V. Sobolev, Elements of functional analysis (translated by A. Labarre Jr., H. Izbicki and H. Crowley), Frederick Ungar, New York, 1961
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
47H15,
34C25
Retrieve articles in all journals
with MSC:
47H15,
34C25
Additional Information
Article copyright:
© Copyright 1975
American Mathematical Society
