| Abstract: |
| We discuss the existence of positive solutions to the equation
\begin{equation*}
-u```+m^2u`=f(t,u,u`)
\end{equation*}
under nonlocal boundary conditions $u(0)=0$, $u`(0)=\alpha[u]$, $u`(1)=\beta[u]$, where $m$ is a positive parameter, and $\alpha$ and $\beta$ are the functionals acting on the space $C^1[0,1]$. Our approach is based on the Krasnosel`ski\u\i{}-Guo fixed point fixed point theorem in cones and the properties of the Green`s function corresponding to the BVP under study. |
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