Multiple positive solutions of singular dirichlet second-order boundary-value problems with derivative dependence
Tóm tắt
The existence of multiple positive solutions for the singular Dirichlet boundary-value problem
$$\begin{array}{*{20}c} {{x^{{\prime \prime }} + \Phi {\left( t \right)}f{\left( {t,x{\left( t \right)},x^{\prime } {\left( t \right)}} \right)} = 0,\,\,\,\,0 < t < 1,}} \\ {{x{\left( 0 \right)} = 0,x{\left( 1 \right)} = 0,}} \\ \end{array} $$
is presented by using the fixed point index; here f may be singular at x = 0.
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