کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10427112 908643 2005 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Set valued functions in Fréchet spaces: Continuity, Hukuhara differentiability and applications to set differential equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Set valued functions in Fréchet spaces: Continuity, Hukuhara differentiability and applications to set differential equations
چکیده انگلیسی
The set Kc(F) of compact convex subsets of a Fréchet space F is studied in detail and is realized as a projective limit of metric spaces. The notion of Hausdorff metric on it is replaced by a family of corresponding “semi-metrics” which provide the necessary background for the support of continuity and Lipschitz continuity. Finally the notion of Hukuhara derivative suited to our study is developed. The proposed approach forms the appropriate environment within which the study of set differential equations for Fréchet spaces can be developed. A first example on R∞ is included.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 61, Issue 4, 15 May 2005, Pages 559-575
نویسندگان
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