کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615156 | 1339309 | 2015 | 49 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic behavior of nonlinear evolution equations in Banach spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Asymptotic behavior of nonlinear evolution equations in Banach spaces Asymptotic behavior of nonlinear evolution equations in Banach spaces](/preview/png/4615156.png)
چکیده انگلیسی
In this study, we show how Yosida's approach for the approximation of the derivative obtains new results for evolution systems. Using this method, we obtain multivalued time-dependent perturbation results. In addition, we consider translation-invariant subspaces Y of the bounded and uniformly continuous functions to obtain criteria for the existence of solutions uâY to the equationuâ²(t)âA(t)u(t)+Ïu(t)+f(t),tâR, or of solutions u, which are asymptotically close to Y for the inhomogeneous differential equationuâ²(t)âA(t)u(t)+Ïu(t)+f(t),t>0,u(0)=u0, in general Banach spaces, where A(t) denotes a possibly nonlinear time-dependent dissipative operator. Particular examples of the space Y are spaces of functions with various properties of almost periodicity and more general types of asymptotic behavior. Furthermore, an application to functional differential equations is described.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 424, Issue 2, 15 April 2015, Pages 1054-1102
Journal: Journal of Mathematical Analysis and Applications - Volume 424, Issue 2, 15 April 2015, Pages 1054-1102
نویسندگان
Josef Kreulich,