A time scales version of a Wirtinger-type inequality and applicationsk

Journal of Computational and Applied Mathematics

Volumn 141, Issue 1-2, 2002, Pages 219-226

  Hilscher, Roman ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Nonoscillation; Sturm liouville equation; Time scale; Wirtinger type inequality

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL METHODS;

INEQUALITY;

COMPUTATIONAL METHODS;

MATHEMATICAL ANALYSIS;

EID: 0036536949     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00447-2     Document Type: Article

References (31)

1. Quadratic functionals for second order matrix equations on time scales
2. On discrete and continuous Wirtinger inequalities
3. Necessary and sufficient conditions for the discreteness of the spectrum of certain singular differential operators
4. Asymptotic properties of solutions of a 2n-th order differential equation on a time scale
5. Integral inequalities of the Wirtinger type
6. Asymptotic behavior of dynamic equations on time scales
7. Wirtinger inequalities, Dirichlet functional inequalities, and the spectral theory of linear operators and relations
8. Discrete quadratic Wirtinger's inequalities
9. A general Wirtinger-type inequality
10. Eventual disconjugacy on time scales
11. Oscillation and spectral properties of a class of singular self-adjoint differential operators
12. Oscillation and spectral properties of self-adjoint differential operators
13. Oscillation criteria for higher order Sturm-Liouville difference equations
14. A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales, this issue
15. Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales
16. A class of sturm-liouville difference equations: (Non)oscillation constants and property BD
17. Oscillation and nonoscillation of higher order self-adjoint differential equations
18. Sturmian theory on measure chains
19. Discrete analogs of inequalities of Wirtinger
20. Analysis on measure chains - A unified approach to continuous and discrete calculus
21. On disconjugacy for vector linear Hamiltonian systems on time scales
22. Positivity of quadratic functionals on time scales: Necessity
23. Reid roundabout theorem for symplectic dynamic systems on time scales
24. Discrete spectra criteria for singular differential operators with middle terms
25. Oscillation theory for generalized second-order differential equations
26. Higher order Wirtinger inequalities
27. Discrete spectra criteria for singular difference operators
28. Wirtinger's inequalities