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Infinite systems of nonlinear oscillation equations related to the string. (English) Zbl 0218.34015

MSC:
34A35 Ordinary differential equations of infinite order
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
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[1] J. J. Stoker, Nonlinear Vibrations in Mechanical and Electrical Systems, Interscience Publishers, Inc., New York, N.Y., 1950. · Zbl 0035.39603
[2] S. Woinowsky-Krieger, The effect of an axial force on the vibration of hinged bars, J. Appl. Mech. 17 (1950), 35 – 36. · Zbl 0036.13302
[3] Joe G. Eisley, Nonlinear vibration of beams and rectangular plates, Z. Angew. Math. Phys. 15 (1964), 167 – 175 (English, with German summary). · Zbl 0133.19101 · doi:10.1007/BF01602658 · doi.org
[4] Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955. · Zbl 0064.33002
[5] James S. W. Wong, Explicit bounds for solutions of certain second order nonlinear differential equations, J. Math. Anal. Appl. 17 (1967), 339 – 342. · Zbl 0237.34054 · doi:10.1016/0022-247X(67)90156-4 · doi.org
[6] F. Brauer and J. A. Nohel, Ordinary differential equations, Benjamin, New York, 1967. · Zbl 0162.10801
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