Inhomogeneous Quadratic Functionals on Time Scales

Journal of Mathematical Analysis and Applications

Volumn 253, Issue 2, 2001, Pages 473-481

  Hilscher, Roman ^a  

^a MASARYK UNIVERSITY   (Czech Republic)

Author keywords

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

Indexed keywords

EID: 0035863991     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7156     Document Type: Article

References (11)

1. Agarwal R. P., Bohner M. Quadratic functionals for second order matrix equations on time scales. Nonlinear Anal. 33:1998;675-692.
2. Agarwal R. P., Bohner M., Wong P. J. Y. Sturm-Liouville eigenvalue problems on time scales. Appl. Math. Comput. 99:1999;153-166.
3. Ahlbrandt C. D., Peterson A. C. Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations. 1996;Kluwer Academic, Boston.
4. Aulbach B., Hilger S. Linear dynamic processes with inhomogeneous time scale. Nonlinear Dynamics and Quantum Dynamical Systems. 1990;Akademie Verlag, Berlin.
5. Bohner M. Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions. J. Math. Anal. Appl. 199:1996;804-826.
6. Bohner M., Došlý O., Kratz W. Discrete Reid roundabout theorems. Dynamic Systems and Applications. 8:1999;345-352.
7. Erbe L., Hilger S. Sturmian theory on measure chains. Differential Equations Dynam. Systems. 1:1993;223-244.
8. Hilger S. Analysis on measure chains - A unified approach to continuous and discrete calculus. Results Math. 18:1990;18-56.
9. Hilscher R. Linear Hamiltonian systems on time scales. Positivity of quadratic functionals. Math. Comput. Modelling. 32:2000;507-527.
10. Kaymakcalan B., Lakshmikantham V., Sivasundaram S. Dynamic Systems on Measure Chains. 1996;Kluwer Academic, Boston.
11. Kratz W. Quadratic Functionals in Variational Analysis and Control Theory. 1995;Akademie Verlag, Berlin.