@Article{Janus2005, author = "Janus, Julian", title = "A singular nonlinear boundary value problem with Neumann conditions", journal = "Opuscula Math.", year = "2005", volume = "25", number = "2", pages = "227--241", doi = "http://dx.doi.org/10.7494/OpMath.2005.25.2.227", url = "http://dx.doi.org/10.7494/OpMath.2005.25.2.227", abstract = "We study the existence of solutions for the equations \(x^{\prime\prime}\pm g(t,x)=h(t)\), \(t\in (0,1)\) with Neumann boundary conditions, where \(g:[0,1] \times (0,+\infty) \to [0,+\infty)\) and \(h:[0,1] \to \mathbb{R}\) are continuous and \(g(t,\cdot)\) is singular at \(0\) for each \(t\in [0,1]\).", keywords = "singular nonlinear boundary value problem, Neumann boundary conditions, second order equations, maximal and minimal solutions", issn = "1232-9274" }