کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841886 1470527 2010 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear functional differential equations of monotone-type in Hilbert spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Nonlinear functional differential equations of monotone-type in Hilbert spaces
چکیده انگلیسی

In this paper, we study a class of semilinear functional evolution equations with finite delay in which the nonlinearity satisfies the weak condition of demicontinuity with respect to functional variable and also a semimonotone condition. We will prove the existence, uniqueness and measurability of the mild solutions based on an extension of the analogous results for non-delay initial value problems on Banach spaces and a version of recently developed random Schauder’s fixed point theorem. This will be done first for the generalized solutions and then we follow an approximating procedure to obtain the same results for the mild solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issues 3–4, 1 February 2010, Pages 1393–1408
نویسندگان
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