Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630985 | Applied Mathematics and Computation | 2011 | 11 Pages |
Abstract
This paper is concerned with non-self-adjoint singular Sturm–Liouville difference equations. By introducing a new spectral parameter, we rewrite the Sturm–Liouville difference equation as a formally self-adjoint Hamiltonian difference system. Applying the theory of the limit point and limit circle cases for this difference system, we classify the considered equation into cases I, II, and III. Two examples are illustrated to show the dependence of cases II and III on the corresponding half planes. Furthermore, the exact dependence of cases II and III on the corresponding half planes is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Huaqing Sun, Jiangang Qi, Haibin Jing,