کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843813 908566 2007 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems
چکیده انگلیسی

We study the nonlinear boundary value problem (ϕ(u′′))′′=f(t,u,u′,u′′),t∈(0,1),u(2i)(0)=u(2i)(1)=0,i=0,1, and obtain a necessary and sufficient condition for the existence of symmetric positive solutions. We also discuss the application of our result to the special case where ff is a power function of uu and its derivatives. Moreover, similar conclusions for a more general higher order boundary value problem are established. Our analysis mainly relies on the lower and upper solution method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 66, Issue 11, 1 June 2007, Pages 2389–2412
نویسندگان
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