a singular nonlinear boundary value problem with neumann conditions

;Julian Janus
zhonghua yi xue za zhi 2005 Vol. 25 pp. 227-241
149
janus2005opusculaa

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

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