论文信息 - Titchmarsh-Weyl Theory for Hamiltonian Systems

Titchmarsh-Weyl Theory for Hamiltonian Systems

For linear Hamiltonian systems, a Titchmarsh-Weyl matrix M(λ) function is defined. The systems formulation used by Atkinson is employed under a limit point hypothesis. A theory analogous to the second order scalar case of Chaudhuri and Everitt is developed. Characterizations are given for the resolvent set, point spectrum, continuous spectrum and point-continuous spectrum. An invariance with respect to boundary conditions is established for certain parts of the spectrum.

D. Hinton | Don B. Hinton | Ken Shaw | Ken Shaw

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