Geodesic
MULTIPLE POSITIVE SOLUTIONS OF SINGULAR POSITONE DIRICHLET PROBLEMS WITH DERIVATIVE DEPENDENCE
Glasgow mathematical journal, Tome 48 (2006) no. 2, pp. 309-329

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DOI

The existence of multiple positive solutions is presented for the singular Dirichlet boundary value problems \[\left\{\begin{array}{@{}ll} x^{\prime\prime}+\Phi(t)\,f(t,x(t),|x'(t)|)=0,\\[3pt] x(0)=0,\ \ x(1)=0, \end{array}\right.\] using the fixed point index; here $f$ may be singular at $x=0$ and $x'=0$. 
YAN, BAOQIANG; O'REGAN, DONAL; AGARWAL, RAVI P. MULTIPLE POSITIVE SOLUTIONS OF SINGULAR POSITONE DIRICHLET PROBLEMS WITH DERIVATIVE DEPENDENCE. Glasgow mathematical journal, Tome 48 (2006) no. 2, pp. 309-329. doi: 10.1017/S0017089506003089
@article{10_1017_S0017089506003089,
     author = {YAN, BAOQIANG and O'REGAN, DONAL and AGARWAL, RAVI P.},
     title = {MULTIPLE {POSITIVE} {SOLUTIONS} {OF} {SINGULAR} {POSITONE} {DIRICHLET} {PROBLEMS} {WITH} {DERIVATIVE} {DEPENDENCE}},
     journal = {Glasgow mathematical journal},
     pages = {309--329},
     year = {2006},
     volume = {48},
     number = {2},
     doi = {10.1017/S0017089506003089},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003089/}
}
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