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2010 Weyl-Titchmarsh Theory for Hamiltonian Dynamic Systems
Shurong Sun, Martin Bohner, Shaozhu Chen
Abstr. Appl. Anal. 2010: 1-18 (2010). DOI: 10.1155/2010/514760


We establish the Weyl-Titchmarsh theory for singular linear Hamiltonian dynamic systems on a time scale 𝕋 , which allows one to treat both continuous and discrete linear Hamiltonian systems as special cases for 𝕋 = and 𝕋 = within one theory and to explain the discrepancies between these two theories. This paper extends the Weyl-Titchmarsh theory and provides a foundation for studying spectral theory of Hamiltonian dynamic systems. These investigations are part of a larger program which includes the following: (i) M ( λ ) theory for singular Hamiltonian systems, (ii) on the spectrum of Hamiltonian systems, (iii) on boundary value problems for Hamiltonian dynamic systems.


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Shurong Sun. Martin Bohner. Shaozhu Chen. "Weyl-Titchmarsh Theory for Hamiltonian Dynamic Systems." Abstr. Appl. Anal. 2010 1 - 18, 2010.


Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1187.37090
MathSciNet: MR2607129
Digital Object Identifier: 10.1155/2010/514760

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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