Abstract
Periodic disturbances play an important role in many diverse areas within science and engineering. Examples of periodic disturbances are the motion of a pendulum in a gravitational field, the motion of celestial bodies, and oscillations in an electrical circuit. When periodic disturbances travel in space, they are described collectively as “wave motion.” Some familiar examples of wave motion are the motion of ripples on the surface of a pond, sound waves, and transverse vibrations on a taut, flexible string.
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References
P. C. Parks, “On how to shake a piece of string to a standstill,” in Recent Mathematical Developments in Control, D. J. Bell, Ed. New York: Academic, 1973, pp. 267–287. (Proceedings of the Univ. of Bath Conference, Sept. 1972.)
A. N. Tychonov and A. A. Samarski, Partial Differential Equations of Mathematical Physics, vol. II. Holden-Day, 1967.
H. Weinberger, A First Course in Partial Differential Equations. Blaisdell.
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© 1983 Springer-Verlag New York Inc.
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Borrelli, R.L. (1983). Shaking a Piece of String to Rest. In: Braun, M., Coleman, C.S., Drew, D.A. (eds) Differential Equation Models. Modules in Applied Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5427-0_21
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DOI: https://doi.org/10.1007/978-1-4612-5427-0_21
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