کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4613443 | 1631515 | 2007 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales](/preview/png/4613443.png)
چکیده انگلیسی
In this paper we consider the one-dimensional p-Laplacian boundary value problem on time scales(φp(uΔ(t)))Δ+h(t)f(uσ(t))=0,t∈[a,b],u(a)−B0(uΔ(a))=0,uΔ(σ(b))=0, where φp(u)φp(u) is p -Laplacian operator, i.e., φp(u)=|u|p−2uφp(u)=|u|p−2u, p>1p>1. Some new results are obtained for the existence of at least single, twin or triple positive solutions of the above problem by using Krasnosel'skii's fixed point theorem, new fixed point theorem due to Avery and Henderson and Leggett–Williams fixed point theorem. This is probably the first time the existence of positive solutions of one-dimensional p-Laplacian boundary value problems on time scales has been studied.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 240, Issue 2, 15 September 2007, Pages 217–248
Journal: Journal of Differential Equations - Volume 240, Issue 2, 15 September 2007, Pages 217–248
نویسندگان
Hong-Rui Sun, Wan-Tong Li,