Criteria of the three cases for non-self-adjoint singular Sturm-Liouville difference equations |
| |
| Authors: | Huaqing Sun |
| |
| Institution: | Department of Mathematics , Shandong University in Weihai , Weihai , Shandong , 264209 , P.R. China |
| |
| Abstract: | This paper is concerned with the criteria of the three cases for non-self-adjoint singular Sturm-Liouville difference equations. It has been known that this class of equations was classified into cases I, II and III by R.H. Wilson (Proc. R. Soc. A 401 (2005)). In this paper, several criteria of the cases I, II and III are established, respectively. |
| |
| Keywords: | Sturm-Liouville difference equation non-self-adjoint Hamiltonian system limit point case limit circle case |
|
|
