Oscillation criteria for second-order matrix dynamic equations on a time scale

Journal of Computational and Applied Mathematics

Volumn 141, Issue 1-2, 2002, Pages 169-185

  Erbe, Lynn ^a   Peterson, Allan ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

Measure chains; Oscillation; Riccati equation; Time scales

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; OSCILLATIONS;

MEASURE CHAIN;

DIFFERENTIAL EQUATIONS;

EQUATION;

EID: 0036538243     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00444-7     Document Type: Article

References (18)

1. Quadratic functionals for second-order matrix equations on time scales
2. Basic calculus on time scales and some of its applications
3. Sturm-Liouville eigenvalue problems on time scales
4. Linear dynamic processes with inhomogeneous time scale
5. Sur les équations fonctionnelles aux q-différences
6. Asymptotic behavior of dynamic equations on time scales
7. Riccati techniques and variational principles in oscillation theory for linear systems
8. Weighted means and oscillation conditions for second-order matrix differential equations
9. Oscillation and nonoscillation for systems of self-adjoint second-order difference equations
10. Sturmian theory on measure chains
11. Green's functions and comparison theorems for differential equations on measure chains
12. Analysis on measure chains - A unified approach to continuous and discrete calculus
13. Oscillation of second-order linear matrix difference equations
14. Analytic theory of linear q-difference equations
15. Sur la sommabilité des séries entières solutions d'équations aux q-différences