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.
Related projects:	Differential and functional - differential equations Difference equations and their applications