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.
Related projects:	Qualitative theory of solutions of difference equations