An Eigenvalue Problem for Linear Hamiltonian Dynamic Systems
نویسندگان
چکیده
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. Date: February 6, 2003 Running head: Linear Hamiltonian eigenvalue problems 1991 Mathematics Subject Classification. 34C10, 93B60, 39A12
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Martin Bohner and Roman Hilscher AN EIGENVALUE PROBLEM FOR LINEAR
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...
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