کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629086 1340573 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global bifurcation and nodal solutions for fourth-order problems with sign-changing weight
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Global bifurcation and nodal solutions for fourth-order problems with sign-changing weight
چکیده انگلیسی

In this paper, we shall establish unilateral global bifurcation result for a class of fourth-order eigenvalue problems with sign-changing weight. Under some natural hypotheses on perturbation function, we show that μkν,0 is a bifurcation point of the above problems and there are two distinct unbounded continua, Ckν+ and Ckν-, consisting of the bifurcation branch Ckν from μkν,0, where μkν is the k  th positive or negative eigenvalue of the linear problem corresponding to the above problems, ν∈{+,-}ν∈{+,-}. As the applications of the above result, we study the existence of nodal solutions for a class of fourth-order eigenvalue problems with sign-changing weight. Moreover, we also establish the Sturm type comparison theorem for fourth-order problems with sign-changing weight.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 17, 1 May 2013, Pages 9399–9407
نویسندگان
, ,