کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840704 908489 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bounded solutions to a class of semilinear integro-differential equations in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Bounded solutions to a class of semilinear integro-differential equations in Banach spaces
چکیده انگلیسی

Let AA be the generator of an immediately norm continuous C0C0-semigroup defined on a Banach space XX. We study the existence and uniqueness of bounded solutions for the semilinear integro-differential equation with infinite delay u′(t)=Au(t)+α∫−∞te−β(t−s)Au(s)ds+f(t,u(t))t∈R;α,β∈R, for each f:R×X→Xf:R×X→X satisfying diverse Lipschitz type conditions. Sufficient conditions are established for the existence and uniqueness of an almost periodic, almost automorphic and asymptotically almost periodic solution, among other types of distinguished solutions. These results have significance in viscoelasticity theory. Finally, an example is presented to illustrate the feasibility and effectiveness of the results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 10, July 2011, Pages 3397–3406
نویسندگان
, ,