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Online ISSN 1552-4485; Print ISSN 0033-569X
The initial value problem for a stretched string
Authors:
J. M. Greenberg and S. C. Hu
Journal:
Quart. Appl. Math. 38 (1980), 289-311
MSC:
Primary 35C99; Secondary 73K05
DOI:
https://doi.org/10.1090/qam/592197
MathSciNet review:
592197
Full-text PDF Free Access
References | Similar Articles | Additional Information
- G. F. Carrier, On the non-linear vibration problem of the elastic string, Quart. Appl. Math. 3 (1945), 157–165. MR 12351, DOI https://doi.org/10.1090/S0033-569X-1945-12351-4
- R. W. Dickey, Infinite systems of nonlinear oscillation equations related to the string, Proc. Amer. Math. Soc. 23 (1969), 459–468. MR 247189, DOI https://doi.org/10.1090/S0002-9939-1969-0247189-8
- R. W. Dickey, Infinite systems of nonlinear oscillation equations with linear damping, SIAM J. Appl. Math. 19 (1970), 208–214. MR 265654, DOI https://doi.org/10.1137/0119019
- R. W. Dickey, The initial value problem for a nonlinear semi-infinite string, Proc. Roy. Soc. Edinburgh Sect. A 82 (1978/79), no. 1-2, 19–26. MR 524669, DOI https://doi.org/10.1017/S0308210500011008 R. Narasimha, Nonlinear vibration of an elastic string, J. Sound Vib. 8, 134–146 (1968) T. Nisida, A note on the nonlinear vibration of an elastic string, Mem. Fac. Eng., Kyoto University 34 (1971) T. Nisida, Nonlinear vibration of an elastic string II, preprint.
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Article copyright:
© Copyright 1980
American Mathematical Society