Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices

Rocky Mountain Journal of Mathematics

Volumn 29, Issue 4, 1999, Pages 1301-1319

  Hilscher, Roman ^a  

^a MASARYK UNIVERSITY   (Czech Republic)

Author keywords

Disconjugacy; Linear Hamiltonian difference system; Principal solution; Sturm Liouville difference equation; Symplectic system

Indexed keywords

EID: 0033473928     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181070409     Document Type: Article

References (5)

1. C.D. Ahlbrandt and A.C. Peterson, Discrete Hamiltonian systems: Difference equations, continued fractions and Riccati equations, Kluwer Academic Publishers, Boston, 1996.
2. A. Ben-Israel and T.N.E. Greville, Generalized inverses: Theory and applications, John Wiley & Sons, Inc., New York, 1974.
3. M. Bohner, Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions, J. Math. Anal. Appl. 199 (1996), 804-826.
4. M. Bohner and O. Dosly, Disconjugacy and transformations for symplectic systems, Rocky Mountain J. Math. 27 (1997), 707-743.
5. M. Bohner and O. Dosly, Positivity of block tridiagonal matrices, SIAM J. Matrix Anal. 20 (1998), 182-195.