کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4976243 | 1365614 | 2007 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On dynamic behavior of a hyperbolic system derived from a thermoelastic equation with memory type
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
پردازش سیگنال
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چکیده انگلیسی
In this paper, we study the Riesz basis property of the generalized eigenfunctions of a one-dimensional hyperbolic system in the energy state space. This characterizes the dynamic behavior of the system, particularly the stability, in terms of its eigenfrequencies. This system is derived from a thermoelastic equation with memory type. The asymptotic expansions for eigenvalues and eigenfunctions are developed. It is shown that there is a sequence of generalized eigenfunctions, which forms a Riesz basis for the Hilbert state space. This deduces the spectrum-determined growth condition for the C0-semigroup associated with the system, and as a consequence, the exponential stability of the system is concluded.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Franklin Institute - Volume 344, Issue 2, March 2007, Pages 75-96
Journal: Journal of the Franklin Institute - Volume 344, Issue 2, March 2007, Pages 75-96
نویسندگان
Jun-Min Wang, Bao-Zhu Guo,