کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842458 908533 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Positive solutions for one-dimensional pp-Laplacian boundary value problems with sign changing nonlinearity
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Positive solutions for one-dimensional pp-Laplacian boundary value problems with sign changing nonlinearity
چکیده انگلیسی

This paper deals with the existence of positive solutions for the one-dimensional pp-Laplacian (ϕp(u′))′+f(t,u,u′)=0,t∈[0,1], subject to the boundary value conditions: u′(0)=∑i=1nαiu′(ξi),u(1)=∑i=1nβiu(ξi), where ϕp(s)=|s|p−2s,p>1ϕp(s)=|s|p−2s,p>1. We show that it has at least one or two positive solutions under some assumptions by applying the fixed point theorem. The interesting points are that the nonlinear term ff is involved with the first-order derivative explicitly and ff may change sign.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 71, Issue 11, 1 December 2009, Pages 5406–5416
نویسندگان
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