On the spectrum of a stationary problem with nonlocal integral type boundary condition

Abstract

We investigated a eigenvalue problem for simple second order ordinary differential equation with one inte­gral type nonlocal boundary condition. The eigenvalues and eigenfunctions of such problem are depending on few parameters in the nonlocal boundary conditions. For some values of those parameters all eigen­values are positive. We find conditions when there is one zero or one negative eigenvalue. We investigate similar discrete problem too.

Keywords

• nonlocal boundary condition
• eigenvalue problem