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Document Details
Document Type
:
Article In Journal
Document Title
:
Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions
Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions
Subject
:
Mathematics
Document Language
:
English
Abstract
:
We discuss the existence of positive solutions of a nonlinear nth order boundary value problem u(n)+a(t)f(u)=0,t∈(0,1)u(0)=0,u′(0)=0,...,u(n- 2)(0)=0,αu(η)=u(1), where 0<η<1, 0<αηn-1<1. In particular, we establish the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones due to Krasnoselkiǐ and Guo.
ISSN
:
0893-9659
Journal Name
:
Applied Mathematics Letters
Volume
:
18
Issue Number
:
5
Publishing Year
:
1426 AH
2005 AD
Article Type
:
Article
Added Date
:
Sunday, January 1, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
Paul W Eloe
Eloe, Paul W
Researcher
Doctorate
eloe@notes.udayton.edu
بشير أحمد
Ahmad, Bashir
Researcher
Doctorate
bashir_qau@yahoo.com
Files
File Name
Type
Description
31907.pdf
pdf
Abstract
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