کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9502902 | 1339548 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the existence of mild solutions of semilinear evolution differential inclusions
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we deal with a Cauchy problem governed by the following semilinear evolution differential inclusion: xâ²(t)âA(t)x(t)+F(t,x(t)) and with initial data x(0)=x0âE, where {A(t)}tâ[0,d] is a family of linear operators in the Banach space E generating an evolution operator and F is a Carathèodory type multifunction. We prove the existence of local and global mild solutions of the problem. Moreover, we obtain the compactness of the set of all global mild solutions. In order to obtain these results, we define a generalized Cauchy operator. Our existence theorems respectively contain the analogous results provided by Kamenskii, Obukhovskii and Zecca [Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces, De Gruyter Ser. Nonlinear Anal. Appl., vol. 7, de Gruyter, Berlin, 2001] for inclusions with constant operator.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 308, Issue 2, 15 August 2005, Pages 620-635
Journal: Journal of Mathematical Analysis and Applications - Volume 308, Issue 2, 15 August 2005, Pages 620-635
نویسندگان
Tiziana Cardinali, Paola Rubbioni,