English

On the Simplicity of the Eigenvalues of the Non-self-adjoint Mathieu-Hill Operators

Spectral Theory 2013-01-10 v2

Abstract

We find conditions on the potential of the non-self-adjoint Mathieu-Hill operator such that the all eigenvalues of the periodic, antiperiodic, Dirichlet and Neumann boundary value problems are simple.

Keywords

Cite

@article{arxiv.1301.1011,
  title  = {On the Simplicity of the Eigenvalues of the Non-self-adjoint Mathieu-Hill Operators},
  author = {O. A. Veliev},
  journal= {arXiv preprint arXiv:1301.1011},
  year   = {2013}
}