کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844565 908600 2007 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcation direction and exchange of stability for variational inequalities on nonconvex sets
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Bifurcation direction and exchange of stability for variational inequalities on nonconvex sets
چکیده انگلیسی

This paper concerns Crandall–Rabinowitz type bifurcation for abstract variational inequalities on nonconvex sets and with multidimensional bifurcation parameter. We derive formulae which determine the bifurcation direction and, in the case of potential operators, the stability of all solutions close to the bifurcation point. In particular, it follows that in some cases an exchange of stability appears similar to the case of equations, but in some other cases stable nontrivial solutions bifurcate at points where there is no loss of stability of the trivial solution. As an application we consider a system of two second order ODEs with nonconvex unilateral boundary conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 4, 15 August 2007, Pages 1082–1101
نویسندگان
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