Generating the exponentially stable C_{0}-semigroup in a nonhomogeneous string equation with damping at the end
Small vibrations of a nonhomogeneous string of length one with left end fixed and right one moving with damping are described by the one-dimensional wave equation \[\begin{cases} v_{tt}(x,t) - \frac{1}{\rho}v_{xx}(x,t) = 0, x \in [0,1], t \in [0, \infty),\\ v(0,t) = 0, v_x(1,t) + hv_t(1,t) = 0, \\ v...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2013-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol33/1/art/opuscula_math_3309.pdf |