On the Fu?ík type problem with integral nonlocal boundary conditions

摘要

The Fu?ík equation $x''=-mu x^++lambda x^-$ with integral nonlocal boundary value conditions $x(0)=x(1)=gammaint_0^1 x(s)ds$ is considered where $mu, lambda, gammainmathbb{R}$. The Fu?ík spectrum for this problem is constructed. The visualization of the spectrum for some values of $gamma$ are provided.