Characteristics of Eigenfunctions and Eigenvalues of a Fourth Order Differential Equations with Spectral Parameter in the Boundary Conditions

Abstract

The characteristics of eigenvalues, and their positions on the real axis are discussed in this article for a fourth order eigenvalue problem with a spectral parameter in the boundary conditions. We have demonstrated that our described problem has a unique solution, as well as, it is shown the characteristics of eigenfunctions and their derivatives in the space