Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices

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Authors

HILSCHER Roman

Year of publication 1999
Type Article in Periodical
Magazine / Source Rocky Mountain Journal of Mathematics
MU Faculty or unit

Faculty of Science

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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