On disconjugacy for vector linear Hamiltonian systems on time scales

Communications in Difference Equations: Proceedings of the Fourth International Conference on Difference Equations

Volumn , Issue , 2000, Pages 181-188

  Hilscher, Roman ^a  

^a MASARYK UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000289038     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (16)

1. R. P. Agarwal, M. Bohner, Quadratic functionals for second order matrix equations on time scales, Nonlinear Analysis33 (1998), no. 7, 675-692.
2. R. P. Agarwal, M. Bohner, P. J. Y. Wong, Sturm-Liouville eigenvalue problems on time scales, Applied Mathematics and Computations, To appear.
3. C. D. Ahlbrandt, A. C. Peterson, Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations, Kluwer Academie Publishers, Boston, 1996.
4. B. Aulbach, S. Hilger, A Unified Approach to Continuous and Discrete Dynamics, Colloquia Mathematica Societatis Janos Bolayi, 53. Qualitative theory of differential equations, Szeged, Hungary, 1988.
5. A. Ben-Israel, T. N. E. Greville, Generalized Inverses: Theory and Applications, John Wiley &Sons, Inc., New York, 1974.
6. M. Bohner, On Positivity of Discrete Quadratic Functionals, PhD dissertation, University of Ulm, 1995.
7. M. Bohner, Linear Hamiltonian difference systems: disconjugacy and Jacobi-type conditions, J. Math. Anal. Appl. 199(1996), 804-826.
8. M. Bohner, On disconjugacy for Sturm-Liouville difference equations, In: “Difference Equations: Theory and Applications”, San Francisco, CA, 1995. J. Differ. Equations Appl. 2 (1996), no. 2, 227-237.
9. W. A. Coppel, Disconjugacy, Lectures Notes in Mathematics, Vol. 220, Springer-Verlag, Berlin - Heidelberg, 1971.
10. O. Došlý, Factorization ofdisconjugate higher order Sturm-Liouville difference operators, Comput. Math. Appl., To appear.
11. L. Erbe, S. Hilger, Sturmian theory on measure chains, Differential Equations and Dynamical Systems 1(1993), no. 3, 223-244.
12. P. Hartman, Difference equations: disconjugacy, principal solutions, Green's function, complete monotonicity, Trans. Amer. Math. Soc. 246(1978), 1-30.
13. S. Hilger, Analysis on measure chains - a unified approach to continuous and discrete calculus, Res. Math.18(1990), 18-56.
14. R. Hilscher, Linear Hamiltonian systems on time scales: positivity of quadratic functionals, Submitted.
15. B. Kaymakcalan, V. Lakshmikantham, S. Sivasundaram, Dynamic Systems on Measure Chains, Kluwer Academic Publishers, Boston, 1996.
16. W. T. Reid, Sturmian Theory for Ordinary Differential Equations, Springer-Verlag, New York - Berlin - Heidelberg, 1980.