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  • The aim of the project is to study qualitative properties of solutions of linear Hamiltonian differential systems and of symplectic difference systems. Attention will be focused to the following particular problems:1. Qualitative theory of linear Hamiltonian differential systems without assumption of normality;2. Sturmian theory for symplectic difference systems;3. Rotation number for symplectic difference systems;4. Spectral theory of operators associated with Hamiltonian and symplectic systems;5. Banded symmetric matrices and difference operators (en)
  • Cílem projektu je ve spolupráci s univerzitou v Ulmu studium kvalitativních vlastností řešení lineárních diferenciálních hamiltonovských systémů a symplektických diferenčních systémů. Pozornost bude věnována především oscilační a spektrální teorii těchto sytémů. (cs)
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  • Oscilační a spektrální teorie diferenciálních a diferenčních systémů (cs)
  • Oscillation and spectral theory of differential and difference systems (en)
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  • Hamiltonovské diferenciální systémy, symplektické diferenční systémy, fokální body, quadratické funk (en)
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