H. Lu (corresponding author), Department of Applied Mathematics, Hohai University, Nanjing, 210098, P. R. China, e-mail: haishen2001@yahoo.com.cn; D. O'Regan, Department of Mathematics, National University of Ireland, Galway, Ireland, e-mail: donal.oregan@nuigalway.ie; R. P. Agarwal, Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA, e-mail: agarwal@fit.edu
Abstract: This paper studies the existence of solutions to the singular boundary value problem
\cases-u"=g(t,u)+h(t,u),\quad t\in(0,1) ,
u(0)=0=u(1),
where $g (0,1)\times(0,\infty)\to\Bbb R$ and $h (0,1)\times[0,\infty)\to[0,\infty)$ are continuous. So our nonlinearity may be singular at $t=0,1$ and $u=0$ and, moreover, may change sign. The approach is based on an approximation method together with the theory of upper and lower solutions.
Keywords: singular boundary value problem, positive solution, upper and lower solution
Classification (MSC 2000): 34B15, 34B16
Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).
Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade.
To activate your access, please contact Myris Trade at myris@myris.cz.
Subscribers of Springer need to access the articles on their site, which is http://www.springeronline.com/10492.
