Title
Existence of positive solutions for second-order semipositone differential equations on the half-line
Abstract
In this paper, by means of constructing a special cone, we obtain a sufficient condition for the existence of positive solution for semipositone singular Sturm-Liouville boundary value problem on the half-line. The results obtained generalize and improve the corresponding results of Zhang and Liu in papers [X.G. Zhang, L.S. Liu, Positive solutions of superlinear semipositone singular Dirichlet boundary value problems, J. Math. Anal. Appl. 316 (2006) 525–537, Y.S. Liu, Existence and unboundedness of positive solutions for singular boundary value problems on half-line, Appl. Math. Comput. 144 (2003) 543–556].
Year
DOI
Venue
2007
10.1016/j.amc.2006.07.056
Applied Mathematics and Computation
Keywords
Field
DocType
Semipositone,Half-line,Positive solutions,Cone
Boundary value problem,Differential equation,Mathematical optimization,Sturm–Liouville theory,Singular value,Dirichlet problem,Mathematical analysis,Dirichlet distribution,Numerical analysis,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
185
1
0096-3003
Citations 
PageRank 
References 
3
0.70
1
Authors
3
Name
Order
Citations
PageRank
Xinguang Zhang116323.65
Lishan Liu218835.41
Yonghong Wu321234.70