Discrete Sturmian theory

Mathematical Inequalities and Applications

Volumn 1, Issue 3, 1998, Pages 375-383

  Bohner, Martin ^a  

^a UNIVERSITY OF HOHENHEIM   (Germany)

Author keywords

Disconjugacy; Focal points; Linear Hamiltonian difference systems

Indexed keywords

EID: 0942301843     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-01-36     Document Type: Article

References (8)

1. C. D. AHLBRANDT AND A. C. PETERSON, Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations, Kluwer Academic Publishers, Boston, 1996.
2. M. BOHNER, Positive definiteness of discrete quadratic functionals, In Conference Proceedings of the Seventh International Conference on General Inequalities, Oberwolfach, 1995. To appear.
3. _, Linear Hamiltonian difference systems: disconjugacy and Jacobi-type conditions, J. Math. Anal. Appl., 199 (1996) 804-826.
4. _, On disconjugacy for Sturm-Liouville difference equations, J. Difference Equations, 2 (2) (1996) 227-237.
5. M. BOHNER, O. DOŠLÝ, AND W. KRATZ, Inequalities and asymptotics for Riccati matrix difference operators, 1996. Submitted.
6. S. BOYD, L. EL GHAOUI, E. FERON, AND V. BALAKRISHNAN, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994.
7. L. ERBE AND P. YAN, Oscillation criteria for Hamiltonian matrix difference systems, Proc. Amer. Math. Soc., 119 (2) (1993) 525-533.
8. W. KRATZ, Quadratic Functional in Variational Analysis and Control Theory, Akademie Verlag, Berlin, 1995.