Linear Hamiltonian systems on time scales: Positivity of quadratic functionals

Mathematical and Computer Modelling

Volumn 32, Issue 5-6, 2000, Pages 507-527

  Hilscher, R ^a  

^a MASARYK UNIVERSITY   (Czech Republic)

Author keywords

(Continuous and discrete) linear Hamiltonian system; Disconjugacy; Principal solution; Quadratic functional; Time scale

Indexed keywords

EID: 0033825935     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(00)00149-7     Document Type: Article

References (26)

1. Disconjugacy
2. Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
3. Discrete Reid roundabout theorems
4. Analysis on measure chains - A unified approach to continuous and discrete calculus
5. A unified approach to continuous and discrete dynamics
6. Linear dynamic processes with inhomogeneous time scale
7. Quadratic functionals for second order matrix equations on time scales
8. Basic calculus on time scales and some of its applications
9. Sturmian theory on measure chains
10. Sturm-Liouville eigenvalue problems on time scales
11. Riccati matrix difference equations and linear Hamiltonian difference systems
12. Disconjugacy and transformations for symplectic systems
13. Generalized linear differential systems
14. A discrete interpretation of Reid's Roundabout Theorem for generalized differential systems
15. Volterra-Stieltjes integral equations and generalized ordinary differential expressions
16. Self-adjoint, non-oscillatory systems of ordinary, second order, linear differential equations
17. Disconjugacy for linear Hamiltonian difference systems
18. On disconjugacy for Sturm-Liouville difference equations