Positive solutions for singular three-point boundary-value problems

• Main Authors: Baoqiang Yan, Donal O'Regan, Ravi P. Agarwal
• Format: Article
• Language: English
• Published: Texas State University 2008-08-01
• Series: Electronic Journal of Differential Equations
• Subjects: Three-point boundary value problems; singularity; positive solutions; fixed point index
• Online Access: http://ejde.math.txstate.edu/Volumes/2008/116/abstr.html

Using the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: $$displaylines{ y''(t)+a(t)f(t,y(t),y'(t))=0,quad 0<t<1,cr y'(0)=0,quad y(1)=alpha y(eta), }$$ where $0<alpha<1$, $0<eta<1$, and $f$ may be singular at $y=0$ and $y'=0$.