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Online ISSN 1552-4485; Print ISSN 0033-569X
Orthogonality relations for a class of linear vibration problems
Author:
J. A. Walker
Journal:
Quart. Appl. Math. 34 (1976), 207-210
MSC:
Primary 73.46
DOI:
https://doi.org/10.1090/qam/449128
MathSciNet review:
449128
Full-text PDF Free Access
References | Similar Articles | Additional Information
- J. A. Walker, Energy-like Liapunov functionals for linear elastic systems on a Hilbert space, Quart. Appl. Math. 30 (1972/73), 465–480. MR 508715, DOI https://doi.org/10.1090/S0033-569X-1973-0508715-7
- J. A. Walker, Necessary conditions for divergence in linear elastic systems, Quart. Appl. Math. 32 (1974/75), 85–87. MR 475141, DOI https://doi.org/10.1090/S0033-569X-1974-0475141-3
- Avner Friedman, Partial differential equations, Holt, Rinehart and Winston, Inc., New York-Montreal, Que.-London, 1969. MR 0445088
- Constantine M. Dafermos, Wave equations with weak damping, SIAM J. Appl. Math. 18 (1970), 759–767. MR 262711, DOI https://doi.org/10.1137/0118068
- J.-L. Lions, Optimal control of systems governed by partial differential equations., Die Grundlehren der mathematischen Wissenschaften, Band 170, Springer-Verlag, New York-Berlin, 1971. Translated from the French by S. K. Mitter. MR 0271512
- J. A. Walker, On the application of Liapunov’s direct method to linear dynamical systems, J. Math. Anal. Appl. 53 (1976), no. 2, 187–220. MR 410023, DOI https://doi.org/10.1016/0022-247X%2876%2990104-9
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Article copyright:
© Copyright 1976
American Mathematical Society