EXPONENTIAL STABILITY FOR A CLASS OF LINEAR HYPERBOLIC EQUATIONS WITH HEREDITARY MEMORY

Monica Conti; Elsa Maria Marchini; Vittorino Pata

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EXPONENTIAL STABILITY FOR A CLASS OF LINEAR HYPERBOLIC EQUATIONS WITH HEREDITARY MEMORY

机译：一类带有遗传记忆的线性双曲型方程组的指数稳定性

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摘要

We establish a necessary and sufficient condition of exponential stability for the contraction semigroup generated by an abstract version of the linear differential equation ∂_tu(t) -∫_0~∞ k(s)△u(t - s) ds = 0 modeling hereditary heat conduction of Gurtin-Pipkin type.

机译：我们建立了由线性微分方程∂_tu（t）-∫_0〜∞k（s）△u（t-s）ds = 0建模遗传算法抽象形式生成的收缩半群的指数稳定性的充要条件Gurtin-Pipkin型的热传导。

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《Discrete and continuous dynamical systems》 |2013年第6期|1555-1565|共11页
作者
Monica Conti; Elsa Maria Marchini; Vittorino Pata;
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作者单位

Politecnico di Milano - Dipartimento di Matematica 'F. Brioschi' Via Bonardi 9, 20133 Milano, Italy;

Politecnico di Milano - Dipartimento di Matematica 'F. Brioschi' Via Bonardi 9, 20133 Milano, Italy;

Politecnico di Milano - Dipartimento di Matematica 'F. Brioschi' Via Bonardi 9, 20133 Milano, Italy;

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正文语种 eng
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关键词
Hereditary heat conduction, memory kernels, semigroups of linear contractions, exponential stability;

机译：遗传热传导;记忆核;线性收缩的半群;指数稳定性;

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EXPONENTIAL STABILITY FOR A CLASS OF LINEAR HYPERBOLIC EQUATIONS WITH HEREDITARY MEMORY

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