Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay. (English) Zbl 07807020
Summary: In this paper, the free transverse vibration of a nonlinear Euler-Bernoulli beam under a neutral type delay is considered. In order to suppress the beam transverse vibrations, a boundary control based on the Lyapunov method is designed. The novelty of this paper is the ability to get a wide variety of energy decay rates under free vibration conditions.
MSC:
| 35R10 | Partial functional-differential equations |
References:
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