کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774686 1413564 2018 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of chaotic oscillations in second-order linear hyperbolic PDEs with implicit boundary conditions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence of chaotic oscillations in second-order linear hyperbolic PDEs with implicit boundary conditions
چکیده انگلیسی
This paper establishes rigorously mathematical theorems that guarantee the existence of chaotic oscillations in the systems of second-order linear hyperbolic PDEs. It separately considers the systems with nonlinear explicit boundary conditions (EBCs) and nonlinear implicit boundary conditions (IBCs) as well as those with such IBCs subjected to small perturbations, where IBCs include EBCs as special cases but the latter cannot in general be expressed by the former. Numerical examples are demonstrated to illustrate the effectiveness of theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 457, Issue 1, 1 January 2018, Pages 751-775
نویسندگان
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