Problem on vibration of a bar with nonlinearsecond-order boundary damping
2017 ◽
Vol 21
(3)
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pp. 9-20
Keyword(s):
A Priori
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In this paper, we study the initial-boundary problem with nonlinear dynam- ical boundary condition for the pseudohyperbolic equation. This problem repre- sents a mathematical model of longitudinal vibration in a thick short bar with dynamic nonlinear second-order boundary damping. The existence and unique- ness of a generalized solution are proved. The proof is based on a priori estimates and Galerkin procedure. This approach allows to construct approximation in the suitable for practical application form.
2017 ◽
Vol 23
(1)
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pp. 21-27
2002 ◽
Vol 31
(4)
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pp. 201-213
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2003 ◽
Vol 3
(4)
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pp. 579-595
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2017 ◽
Vol 22
(1-2)
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pp. 33-45
2007 ◽
Vol 12
(1)
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pp. 3-20
1972 ◽
Vol 69
(4)
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pp. 287-293