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Zbl 1203.34036
Agarwal, Ravi P.; O'regan, Donal; Yan, Baoqiang
Multiple positive solutions of singular Dirichlet second-order boundary-value problems with derivative dependence.
(English)
[J] J. Dyn. Control Syst. 15, No. 1, 1-26 (2009). ISSN 1079-2724; ISSN 1573-8698/e

Summary: The existence of multiple positive solutions for the singular Dirichlet boundary-value problem $$\cases x''+\Phi(t)f(t,x(t),x'(t))=0,\quad 0<t<1, \\ x(0)=x(1)=0\endcases$$ is presented by using the fixed point index; here $f$ may be singular at $x = 0$.
MSC 2000:
*34B16 Singular nonlinear boundary value problems
34B18 Positive solutions of nonlinear boundary value problems
47N20 Appl. of operator theory to differential and integral equations

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