Eigenvalue, oscillation, and variational results for time scale symplectic systems

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Authors	ŠIMON HILSCHER Roman
Year of publication	2009
MU Faculty or unit	Faculty of Science
Citation
Description	Under the name "Equadiff" two series of important international conferences on differential equations have been organized in Eastern and Western Europe during the last decades. The tradition of the Czechoslovak Equadiff conferences dates back to 1962 when Equadiff 1 was organized in Prague. Subsequent conferences held in Bratislava (1966, 1981, 1993, 2005), Brno (1972, 1985, 1997), and Prague (1977, 1989, 2001). The conference is devoted to all mathematical aspects of differential equations. In this plenary talk we focus on the theory of time scale symplectic systems, which are linear dynamic systems possessing the traditional Hamiltonian properties. Most of these results were obtained jointly with Vera Zeidan (Michigan State University) and with Werner Kratz (University of Ulm).
Related projects:	Asymptotika, oscilace a kvadratické funkcionály v teorii dynamických rovnic Second order optimality conditions for optimization problems Oscillation and spectral theory of differential and difference systems