کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4624081 1339532 2006 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The method of lower and upper solutions for fourth order singular m-point boundary value problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The method of lower and upper solutions for fourth order singular m-point boundary value problems
چکیده انگلیسی

This paper investigates the existence of positive solutions for fourth order singular m-point boundary value problems. Firstly, we establish a comparison theorem, then we define a partial ordering in C2[0,1]∩C4(0,1) and construct lower and upper solutions to give a necessary and sufficient condition for the existence of C2[0,1] as well as C3[0,1] positive solutions. Our nonlinearity f(t,x,y) may be singular at x, y, t=0 and/or t=1.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 322, Issue 2, 15 October 2006, Pages 675-692