An eigenvalue problem for linear Hamiltonian dynamic systems
2005
artykuł naukowy
angielski
- time scale
- linear Hamiltonian system
- eigenvalue
- eigenfunction
- quadratic functional
- focal point
- normality
EN In this paper we consider eigenvalue problems on time scales involving linear Hainiltonian dynamic systems. We give conditions that ensure that the eigenvalues of the problem are isolated and bounded below. The presented results are applicable also to Sturm-Liouville dynamic equations of higher order, and further special cases of our systems are linear Hamiltonian differ ential systems as well as linear Hamiltonian difference systems.
35 - 49
CC BY-NC-ND (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
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