TY  - JOUR
ID  - Janus2005
LB  - Janus2005
AU  - Janus, Julian
TI  - A singular nonlinear boundary value problem with Neumann conditions
ST  - A singular nonlinear boundary value problem with Neumann conditions
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2005
VL  - 25
IS  - 2
SP  - 227
EP  - 241
DO  - http://dx.doi.org/10.7494/OpMath.2005.25.2.227
UR  - http://dx.doi.org/10.7494/OpMath.2005.25.2.227
AB  - 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 \(t\in [0,1]\).
KW  - singular nonlinear boundary value problem
KW  - Neumann boundary conditions
KW  - second order equations
KW  - maximal and minimal solutions
SN  - 1232-9274
ER  -