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@article{488363, author = {Hilscher, Roman}, article_number = {4}, keywords = {symplectic system; linear Hamiltonian difference system; disconjugacy; principal solution; Sturm-Liouville difference equation}, language = {eng}, issn = {0035-7596}, journal = {Rocky Mountain Journal of Mathematics}, title = {Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices}, volume = {29}, year = {1999} }
TY - JOUR ID - 488363 AU - Hilscher, Roman PY - 1999 TI - Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices JF - Rocky Mountain Journal of Mathematics VL - 29 IS - 4 SP - 1301-1319 EP - 1301-1319 SN - 00357596 KW - symplectic system KW - linear Hamiltonian difference system KW - disconjugacy KW - principal solution KW - Sturm-Liouville difference equation N2 - 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. ER -
HILSCHER, Roman. Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices. Online. \textit{Rocky Mountain Journal of Mathematics}. 1999, roč.~29, č.~4, s.~1301-1319, 18 s. ISSN~0035-7596. [citováno 2024-04-23]
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