کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4623025 | 1339509 | 2007 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Coexistence of positive solutions of nonlinear three-point boundary value and its conjugate problem
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Coexistence of positive solutions of nonlinear three-point boundary value and its conjugate problem Coexistence of positive solutions of nonlinear three-point boundary value and its conjugate problem](/preview/png/4623025.png)
چکیده انگلیسی
In this paper, the three-point boundary value problem−u″(t)=f(t,u(t)),0⩽t⩽1,u′(0)=0,u(1)=αu(η), and its conjugate boundary value problem−v″(s)=f(s,v(s)),0⩽s⩽1,s≠η,v′(0)=0,v+′(η)−v−′(η)=αv′(1),v(1)=0, are studied under some conditions concerning the same first eigenvalue of the both linear problems. By applying the fixed point index theory, the coexistence of single and multiple positive solutions of the above mentioned problems is verified. As an application, some examples are given to illustrate our results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 330, Issue 1, 1 June 2007, Pages 334–351
Journal: Journal of Mathematical Analysis and Applications - Volume 330, Issue 1, 1 June 2007, Pages 334–351
نویسندگان
Shuli Wang, Jinsheng Liu,