کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617621 | 1339387 | 2012 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multiple solutions of impulsive Sturm–Liouville boundary value problem via lower and upper solutions and variational methods
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Multiple solutions of impulsive Sturm–Liouville boundary value problem via lower and upper solutions and variational methods Multiple solutions of impulsive Sturm–Liouville boundary value problem via lower and upper solutions and variational methods](/preview/png/4617621.png)
چکیده انگلیسی
In this paper, we prove the existence of multiple solutions for second order Sturm–Liouville boundary value problem{−Lu=f(x,u),x∈[0,1]\{x1,x2,…,xl},−Δ(p(xi)u′(xi))=Ii(u(xi)),i=1,2,…,l,R1(u)=0,R2(u)=0, where Lu=(p(x)u′)′−q(x)uLu=(p(x)u′)′−q(x)u is a Sturm–Liouville operator, R1(u)=αu′(0)−βu(0)R1(u)=αu′(0)−βu(0), R2(u)=γu′(1)+σu(1)R2(u)=γu′(1)+σu(1). The technical approach is fully based on lower and upper solutions and variational methods. The interesting point is that the property that the critical points of the energy functional are exactly the fixed points of an operator that involves the Greenʼs function. Besides, the existence of four solutions is given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 387, Issue 2, 15 March 2012, Pages 475–489
Journal: Journal of Mathematical Analysis and Applications - Volume 387, Issue 2, 15 March 2012, Pages 475–489
نویسندگان
Yu Tian, Weigao Ge,