Existence theory for single and multiple solutions to semipositone discrete Dirichlet boundary value problems with singular dependent nonlinearities
For the boundary value problem \[ \Delta^2y(i-1)+ \mu f\bigl(i,y(i)\bigr)=0,\;i=1,\dots,T,\quad y(0)=y(T+1)=0 \] with positive \(\mu\) and a function \(f(i,u)\) which can be singular at \(u=0\) conditions are given such that there exists one positive solution, or there exist two positive solutions, respectively.
scientific article; zbMATH DE number 1932172