کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4622816 1339505 2006 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Uniform dichotomy and exponential dichotomy of evolution families on the half-line
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Uniform dichotomy and exponential dichotomy of evolution families on the half-line
چکیده انگلیسی

The aim of this paper is to give characterizations for uniform and exponential dichotomies of evolution families on the half-line. We associate with a discrete evolution family Φ={Φ(m,n)}(m,n)∈Δ the subspace . Supposing that X1 is closed and complemented, we prove that the admissibility of the pair implies the uniform dichotomy of Φ. Under the same hypothesis on X1, we obtain that the admissibility of the pair with p∈(1,∞] is a sufficient condition for the exponential dichotomy of Φ, which becomes necessary when Φ is with exponential growth. We apply our results in order to deduce new characterizations for exponential dichotomy of evolution families in terms of the solvability of associated difference and integral equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 323, Issue 2, 15 November 2006, Pages 1465-1478