کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843869 908568 2008 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Necessary and sufficient conditions for the existence of symmetric positive solutions of multi-point boundary value problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Necessary and sufficient conditions for the existence of symmetric positive solutions of multi-point boundary value problems
چکیده انگلیسی

We study the nonlinear boundary value problem with multi-point boundary condition (|u″|p−1u″)″=f(t,u,u′,u″),t∈(0,1),u(2i)(0)=u(2i)(1)=∑j=1maiju(2i)(tj),i=0,1. Necessary and sufficient conditions are obtained for the existence of symmetric positive solutions of this problem using fixed point theorems on cones. Applications of our results to the special case where ff is a power function of uu and its derivatives are also discussed. Moreover, similar conclusions for a more general higher order boundary value problem are established. Our results extend some recent work in the literature on boundary value problems for ordinary differential equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 68, Issue 6, 15 March 2008, Pages 1529–1552
نویسندگان
, ,