کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10527284 958770 2012 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Positivity and explosion in mean Lp-norm of stochastic functional parabolic equations of retarded type
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Positivity and explosion in mean Lp-norm of stochastic functional parabolic equations of retarded type
چکیده انگلیسی
This work is concerned with a class of semilinear stochastic functional parabolic differential equations of retarded type. We first establish conditions to ensure the existence of a unique non-negative solution of the stochastic delay partial differential equation under investigation. Subsequently, the problem of explosive or blow-up solutions in mean Lp-norm sense, p≥1, in a finite time to the stochastic system is considered. Several examples are given to illustrate the theory established in the work.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 122, Issue 4, April 2012, Pages 1709-1729
نویسندگان
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