Title
Existence and uniqueness theorems for fourth-order singular boundary value problems
Abstract
By constructing a special cone and using cone compression and expansion fixed point theorem, the existence and uniqueness are established for the following singular fourth-order boundary value problems: x^(^4^)(t)=f(t,x(t),-x^''(t)),t@?(0,1),x(0)=x(1)=x^''(0)=x^''(1)=0, where f(t,x,y) may be singular at t=0,1; x=0 and y=0.
Year
DOI
Venue
2009
10.1016/j.camwa.2009.07.041
Computers & Mathematics with Applications
Keywords
Field
DocType
existence,fourth-order boundary value problem,fourth-order singular boundary value,cone compression,uniqueness,special cone,e -norm,uniqueness theorem,value problem,following singular fourth-order boundary,point theorem,singular,e,boundary value problem,fixed point theorem
Boundary value problem,Uniqueness,Mathematical optimization,Fourth order,Mathematical analysis,Singular solution,Fixed-point theorem,Mathematics,Singular boundary value problems
Journal
Volume
Issue
ISSN
58
7
Computers and Mathematics with Applications
Citations 
PageRank 
References 
1
0.37
1
Authors
2
Name
Order
Citations
PageRank
Yujun Cui1144.40
Yumei Zou2102.64