کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4611078 1338600 2010 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Admissibility for nonuniform exponential contractions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Admissibility for nonuniform exponential contractions
چکیده انگلیسی

We study the relation between the notions of nonuniform exponential stability and admissibility. In particular, using appropriate adapted norms (which can be seen as Lyapunov norms), we show that if any of their associated Lp spaces, with p∈(1,∞], is admissible for a given evolution process, then this process is a nonuniform exponential contraction. We also provide a collection of admissible Banach spaces for any given nonuniform exponential contraction.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 249, Issue 11, 1 December 2010, Pages 2889-2904