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| Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions |
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Citation： |
Yue WANG,G"{u}nter LEUGERING,Tatsien LI.Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions[J].Chinese Annals of Mathematics B,2020,41(3):325~334 |
| Page view： 924
Net amount： 738 |
Authors： |
Yue WANG; G"{u}nter LEUGERING;Tatsien LI |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11831011). |
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| Abstract： |
This paper deals with the spatial vibration of an elastic string
with masses at the endpoints. The authors derive the corresponding
quasilinear wave equation with dynamical boundary conditions, and
prove the exact boundary controllability of this system by means of
a constructive method with modular structure. |
Keywords： |
Spatial vibration of a string, Exact boundary controllability,Dynamical boundary condition |
Classification： |
35L05, 35L72, 93B05 |
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