Publication details
Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices
Authors | |
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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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