Characteristics of eigenfunctions and eigenvalues of a fourth order differential equations with spectral parameter in the boundary conditions

Abstract EN

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 ?? (0, ?) (1 < ? < ∞).