DOI: 10.7494/opmath.2005.25.2.227 ISSN: 1232-9274

A singular nonlinear boundary value problem with Neumann conditions

Julian Janus
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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 \(t\in [0,1]\).

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