A singular nonlinear boundary value problem with Neumann conditions

Opuscula Mathematica

Julian Janus¹ 

[1] AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland;

关键词: singular nonlinear boundary value problem;    Neumann boundary conditions;    second order equations;    maximal and minimal solutions;   

DOI  :  

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown