کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610505 | 1338568 | 2014 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Coupled second order evolution equations with fading memory: Optimal energy decay rate
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Of concern is the Cauchy problem for coupled second order semilinear evolution equations in a Hilbert space, with indirect memory-damping. We find an approach to obtain successfully an optimal rate of uniform decay for the system energy, only under basic conditions on the memory kernels. Simultaneously, the same rate is also obtained (with less difficulty) for the corresponding single memory-dissipative second order evolution equations. As can be seen, our results essentially improve the previously related ones in the literature. The abstract results are then applied to several concrete problems in the real world.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 257, Issue 5, 1 September 2014, Pages 1501–1528
Journal: Journal of Differential Equations - Volume 257, Issue 5, 1 September 2014, Pages 1501–1528
نویسندگان
Kun-Peng Jin, Jin Liang, Ti-Jun Xiao,