An eigenvalue problem for linear Hamiltonian dynamic systems

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Authors

BOHNER Martin HILSCHER Roman

Year of publication 2005
Type Article in Periodical
Magazine / Source Fasciculi Mathermatici
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Time scale; Linear Hamiltonian system; Eigenvalue; Eigenfunction; Quadratic functional; Time scale; Linear Hamiltonian system; Eigenvalue; Eigenfunction; Quadratic functional; Focal point; Normality
Description In this paper we consider eigenvalue problems on time scales involving linear Hamiltonian 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 differential systems as well as linear Hamiltonian difference systems.
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