کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4619651 1339442 2010 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A strong convergence theorem for solutions to a nonhomogeneous second order evolution equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A strong convergence theorem for solutions to a nonhomogeneous second order evolution equation
چکیده انگلیسی

In this paper, we establish the strong convergence of possible solutions to the following nonhomogeneous second order evolution system{u″(t)+cu′(t)∈Au(t)+f(t)a.e. t∈(0,+∞),u(0)=u0,supt⩾0|u(t)|<+∞ to an element of A−1(0)A−1(0), with an exponential rate of convergence when f≡0f≡0, where A is a general maximal monotone operator in a real Hilbert space H  , c>0c>0 is a real constant and f:R+→H is a given function. We show also that the curve u is almost nonexpansive, and present some applications of our result.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 363, Issue 2, 15 March 2010, Pages 648–654
نویسندگان
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