Oscillation of symplectic dynamic systems

ANZIAM Journal

Volumn 46, Issue 1, 2004, Pages 17-32

  Bohner, Martin ^a   Došlý, Ondřej ^b  

^a MISSOURI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (United States)

^b MASARYK UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646940031     PISSN: 14461811     EISSN: None     Source Type: Journal    
DOI: 10.1017/S144618110001364X     Document Type: Article

References (17)

1. M. Bohner, "Linear Hamiltonian difference systems: disconjugacy and Jacobi-type conditions", J. Math. Anal. Appl. 199 (1996) 804-826.
2. M. Bohner and O. Došlý, "Disconjugacy and transformations for symplectic systems", Rocky Mountain J. Math. 27 (1997) 707-743.
3. M. Bohner, O. Došlý and R. Hilscher, "Linear Hamiltonian dynamic systems on time scales: Sturmian property of the principal solution", Nonlinear Anal. 47 (2001) 849-860.
4. M. Bohner, O. Došlý and W. Kratz, "An oscillation theorem for discrete eigenvalue problems", Rocky Mountain J. Math. 33 (2002) 1233-1260.
5. M. Bohner and A. Peterson, Dynamic equations on time scales: an introduction with applications (Birkhäuser, Boston, 2001).
6. M. Bohner and A. Peterson, Advances in dynamic equations on time scales (Birkhäuser, Boston, 2003).
7. S. Chen and L. Erbe, "Oscillation results for second order scalar and matrix difference equations", Comput. Math. Appl. 28 (1994) 55-69.
8. O. Došlý, "On the existence of conjugate points for linear differential systems", Math. Slovaca 40 (1990) 87-99.
9. O. Došlý, "Oscillation and spectral properties of a class of singular differential operators", Math. Nachr. 188 (1997) 49-68.
10. O. Došlý, "Oscillation criteria for higher order Sturm-Liouville difference equations", J. Differ. Equations Appl. 4 (1998) 425-450.
11. O. Došlý, "Principal and nonprincipal solutions of symplectic dynamic systems on time scales", in Proceedings of the 6th Colloquium on the Qualitative Theory of Differential Equations (Szeged, 1999), Electron. J. Qual. Theory Differ. Equ., No. 5, (electronic), (Szeged, 2000) pp. 14.
12. O. Došlý and R. Hilscher, "Disconjugacy, transformations and quadratic functional for symplectic dynamic systems on time scales", J. Differ. Equations Appl. 7 (2001) 265-295.
13. L. Erbe and P. Yan, "On the discrete Riccati equation and its applications to discrete Hamiltonian systems", Rocky Mountain J. Math. 25 (1995) 167-178.
14. S. Hilger, "Analysis on measure chains - a unified approach to continuous and discrete calculus", Results Math. 18 (1990) 18-56.
15. R. Hilscher, "Discrete spectral criteria for a certain class of singular differential and difference operators", Comput. Math. Appl. 42 (2001) 465-476.
16. R. Hilscher, "Reid roundabout theorem for symplectic dynamic systems on time scales", Appl. Math. Optim. 43 (2001) 129-146.
17. A. Peterson, "Oscillation of second order linear matrix difference equations", J. Differential Equations 89 (1991) 65-88.