کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840481 908481 2012 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mappings of higher order and nonlinear equations in some spaces of almost periodic functions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Mappings of higher order and nonlinear equations in some spaces of almost periodic functions
چکیده انگلیسی

In the first part of the paper we examine mappings of higher order from a general point of view, that is, in normed spaces of bounded real-valued functions defined on RR. Particular attention is paid to the relation of such mappings with the so-called autonomous superposition operators. Next we investigate mappings of higher order in Banach spaces of almost periodic functions and their perturbations. We also give necessary and sufficient conditions guaranteeing that a nonautonomous superposition operator acts in the space of almost periodic functions in the sense of Levitan and is uniformly continuous. In the Banach space of bounded almost periodic functions in the sense of Levitan we discuss mappings of higher order and a convolution operator. Some applications to nonlinear differential and integral equations are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 13, September 2012, Pages 5294–5310
نویسندگان
, , ,