具有切换时滞的非线性wave equations方程解的稳定性
Stability of solutions to nonlinear wave equations with switching time-delay
摘要：
研究了一类具有间歇时滞阻尼的二阶非线性发展方程的适定性和渐近稳定性。更准确地说，延迟反馈和非延迟反馈在时间上交替作用。在适当的反馈算子条件下，我们证明了系统的渐近稳定性。具体的例子包括在我们的设置说明。我们也给出了一个抽象的模型的稳定性结果交替正负阻尼，没有延迟。
英文摘要：
In this paper we study well-posedness and asymptotic stability for a class of nonlinear second-order evolution equations with intermittent delay damping. More precisely, a delay feedback and an undelayed one act alternately in time. We show that, under suitable conditions on the feedback operators, asymptotic stability results are available. Concrete examples included in our setting are illustrated. We give also stability results for an abstract model with alternate positive-negative damping, without delay.
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