Parameter dependence of positive solutions for second-order singular Neumann boundary value problems with impulsive effects (Q1725410)

Summary: The author considers the Neumann boundary value problem \(-y''(t)+\mathbf My(t)=\lambda\omega(t)f(t,y(t))\), \(t\in J\), \(t\neq t_k\), \(-\Delta y'|_{t=t_k}=\lambda I_k(t_k,y(t_k))\), \(k=1,2,\dots,m\), \(y'(0)=y'(1)=0\) and establishes the dependence results of the solution on the parameter \(\lambda\), which cover equations without impulsive effects and are compared with some recent results by Nieto and O'Regan.