کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4611313 1338615 2013 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations
چکیده انگلیسی

In this paper we study the roughness of tempered exponential dichotomies for linear random dynamical systems in Banach spaces. Such a dichotomy has a tempered bound and describes nonuniform hyperbolicity. We prove the roughness without assuming their invertibility and the integrability condition of the Multiplicative Ergodic Theorem. We give an explicit bound for the linear perturbation such that the dichotomy is persistent. We also obtain explicit forms for the exponent and the bound of tempered exponential dichotomy of the perturbed random system in terms of the original ones and the perturbations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 254, Issue 9, 1 May 2013, Pages 4024-4046