کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840908 908495 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the stability of a domain-wall brane model
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On the stability of a domain-wall brane model
چکیده انگلیسی

We establish stability and nonstability results for a domain-wall brane model arising in classical field theory. In particular, we show the nonexistence of nontrivial bounded solutions on the real line for a coupled pair of parameter dependent linear second order ordinary differential equations for an open set of those parameters. Moreover, we establish the existence of nontrivial solutions for a hypersurface of the parameters. We use Fredholm theory for compact linear operators combined with the Lyapunov–Schmidt method to prove our results. The model is stable, respectively unstable, for those parameters for which the coupled system does not, respectively does, have nontrivial solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 15, October 2011, Pages 4989–4999
نویسندگان
, , ,