کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842401 908531 2010 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Center manifolds for difference equations—smooth parameter dependence
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Center manifolds for difference equations—smooth parameter dependence
چکیده انگلیسی

For sufficiently small C1C1 perturbations of (nonautonomous) linear difference equations with a nonuniform exponential trichotomy, we establish the existence of center manifolds with the optimal C1C1 regularity. We also consider the case of parameter-dependent perturbations and we obtain the C1C1 dependence of the center manifolds on the parameter. In addition, we consider arbitrary growth rates with the usual exponential estimates of the form ect in the notion of exponential trichotomy replaced by ecρ(t) where ρρ is now an arbitrary function. The proof of the regularity, both of the center manifold and of its dependence, on the parameter is based on the fiber contraction principle. The most technical part of the argument concerns the continuity of the fiber contraction that essentially needs a direct argument.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 3, 1 August 2010, Pages 725–749
نویسندگان
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