Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices
| Authors | |
|---|---|
| Year of publication | 1999 |
| Type | Article in Periodical |
| Magazine / Source | Rocky Mountain Journal of Mathematics |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | symplectic system; linear Hamiltonian difference system; disconjugacy; principal solution; Sturm-Liouville difference equation |
| Description | In this paper we discuss disconjugacy of symplectic difference systems in the relation with positive definiteness of a certain associated block tridiagonal matrix. Analogous results have been recently proven for a special form of a symplectic systems - linear Hamiltonian difference systems and Sturm-Liouville difference equations. Finally, reciprocal systems are also discussed. |
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