Infinite systems of nonlinear oscillation equations related to the string
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- by R. W. Dickey PDF
- Proc. Amer. Math. Soc. 23 (1969), 459-468 Request permission
References
- J. J. Stoker, Nonlinear Vibrations in Mechanical and Electrical Systems, Interscience Publishers, Inc., New York, N.Y., 1950. MR 0034932
- S. Woinowsky-Krieger, The effect of an axial force on the vibration of hinged bars, J. Appl. Mech. 17 (1950), 35–36. MR 0034202
- Joe G. Eisley, Nonlinear vibration of beams and rectangular plates, Z. Angew. Math. Phys. 15 (1964), 167–175 (English, with German summary). MR 175375, DOI 10.1007/BF01602658
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- James S. W. Wong, Explicit bounds for solutions of certain second order nonlinear differential equations, J. Math. Anal. Appl. 17 (1967), 339–342. MR 206395, DOI 10.1016/0022-247X(67)90156-4 F. Brauer and J. A. Nohel, Ordinary differential equations, Benjamin, New York, 1967.
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 23 (1969), 459-468
- MSC: Primary 34.45
- DOI: https://doi.org/10.1090/S0002-9939-1969-0247189-8
- MathSciNet review: 0247189