کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4614033 1339278 2016 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fredholm solvability of time-periodic boundary value hyperbolic problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Fredholm solvability of time-periodic boundary value hyperbolic problems
چکیده انگلیسی
We investigate a large class of linear boundary value problems for the general first-order one-dimensional hyperbolic systems in the strip [0,1]×R. We state rather broad natural conditions on the data under which the operators of the problems satisfy the Fredholm alternative in the spaces of continuous and time-periodic functions. A crucial ingredient of our analysis is a non-resonance condition, which is formulated in terms of the data responsible for the bijective part of the Fredholm operator. In the case of 2×2 systems with reflection boundary conditions, we provide a criterium for the non-resonant behavior of the system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 442, Issue 2, 15 October 2016, Pages 804-819
نویسندگان
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