A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales

Journal of Computational and Applied Mathematics

Volumn 141, Issue 1-2, 2002, Pages 147-158

  Došlý, Ondřej ^a   Hilger, Stefan ^b  

^a MATHEMATICAL INSTITUTE   (Czech Republic)

^b CATHOLIC UNIVERSITY OF EICHSTÄTT INGOLSTADT   (Germany)

Author keywords

Measure chain; Sturm Liouville dynamic equations; Symplectic dynamic systems; Time scales; Trigonometric transformation

Indexed keywords

OSCILLATIONS;

TIME SCALES;

MATHEMATICAL TECHNIQUES;

EQUATION;

EID: 0036537638     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00442-3     Document Type: Article

References (16)

1. Quadratic functionals for second order matrix equations on time scales
2. A discrete interpretation of Reid's Roundabout theorem for generalized differential systems
3. Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
4. Trigonometric transformation and oscillatory properties of second order difference equation
5. Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales
6. Sturmian theory on measure chains
7. Analysis on measure chains - A unified approach to continuous and discrete calculus
8. Differential and difference calculus - Unified!
9. Special functions, Laplace and Fourier transform on measure chains
10. A unified approach to continuous and discrete linear Hamiltonian systems via the calculus on time scales
11. Kriterien für oscillation der Lösungen der Differentialgleichung [p(x)y′]′ + q(x)y = 0
12. Generalized linear differential systems and related Riccati matrix integral equation