Second order evolution equations with dynamic boundary conditions

Journal of Mathematical Analysis and Applications

Volumn 197, Issue 3, 1996, Pages 781-795

  Andrews, Kevin T ^a   Kuttler, K L ^b   Shillor, M ^a  

^a OAKLAND UNIVERSITY   (United States)

^b MICHIGAN TECHNOLOGICAL UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030078631     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0053     Document Type: Article

References (16)

1. 1. A. K. Banerjee and T. Kane, Extrusion of a beam from a rotating base, J. Guidance Control Dynamics 12, No. 2 (1989), 140-146.
2. 2. H. T. Banks and J. A. Burns, Introduction to control of distributed parameter systems, in preparation.
3. 3. H. T. Banks, R. H. Fabiano, and Y. Wang, Inverse problem techniques for beams with tip body and time hysteresis damping, Mat. Appl. Comput. 8, No. 2 (1989), 101-118.
4. 4. H. T. Banks and D. J. Inman, On damping mechanisms in beams, ASME Trans. 58 (1991), 716-723.
5. 5. H. T. Banks and K. Kunisch, "Estimation Techniques for Distributed Parameter Systems," Birkhauser, Boston, 1989.
6. 6. C. Bardos and H. Brezis, Sur une classe de problèmes d' évolution non linéares, J. Differential Equations 6 (1969), 345-394.
7. 7. H. Brezis, On some degenerate nonlinear parabolic equations, in "Proceedings Symposium on Nonlinear Functional Analysis, Chicago, 1968, American Mathematical Society, Providence, RI, 1970.
8. 8. R. W. Carroll and R. E. Showalter, "Singular and Degenerate Cauchy Problems," Academic Press, New York, 1976.
9. 9. T. P. Chang, Forced vibration of a mass-loaded beam with a heavy tip body, J. Sound Vibration 164, No. 3 (1993), 471-484.
10. 10. R. W. Clough and J. Penzien, "Dynamics of Structures," McGraw-Hill, New York, 1975.
11. 11. K. L. Kuttler, Initial-boundary value problems for the displacement in an isothermal viscous gas, Nonlinear Anal. 15, No. 7 (1990), 601-623.
12. 12. K. L. Kuttler, The Galerkin Method and degenerate evolution equations, Math. Anal. Appl. 107 (1985), 396-413.
13. 13. K. L. Kuttler, Time-dependent implicit evolution equations, Nonlinear Anal. 10, No. 5 (1986), 447-463.
14. 14. H. P. Lee, Vibration of an axially moving beam with a tip mass, Mech. Res. Comm. 20, No. 5 (1993), 391-397.
15. 15. J. L. Lions, "Quelques Methods de Resolution des Problemes aux Limites Non Lineares," Dunod, Paris, 1969.
16. 16. Y. Sakawa and Z. H. Luo, Modeling and control of coupled bending and torsional vibrations of flexible beams, IEEE Trans. Automat. Control 34, No. 9 (1989), 970-977.