کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634377 1631836 2008 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Positive solutions of four-point singular boundary value problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Positive solutions of four-point singular boundary value problems
چکیده انگلیسی
Existence of C1 positive solutions for a class of second-order nonlinear singular equations of the type-x″(t)+λx′(t)=f(t,x(t)),t∈(0,1),subjectto four-point boundary conditions of the typex(0)=ax(η),x(1)=bx(δ),0<η⩽δ<1,is established. Existence of C1 positive solution is proved with the upper and lower solutions method. Examples are included to show the validity of our results. Finally, the method of quasilinearization is developed to approximate the solution. We show that under suitable conditions on f, there exists a sequence of solutions of linear problems that converges monotonically and quadratically to the solution of the original nonlinear problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 201, Issues 1–2, 15 July 2008, Pages 762-773
نویسندگان
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