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Multiple positive solutions of singular Dirichlet second-order boundary-value problems with derivative dependence. (English) Zbl 1203.34036
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:
 34B16 Singular nonlinear boundary value problems for ODE 34B18 Positive solutions of nonlinear boundary value problems for ODE 47N20 Applications of operator theory to differential and integral equations
Full Text:
##### References:
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