<p>Linear relations associated with dynamic symplectic systems on an arbitrary time scale are introduced, and all self-adjoint extensions of the corresponding minimal linear relation are characterized. This provides a unification and significant extension to any time scale of analogous results for linear Hamiltonian differential systems and discrete symplectic systems published in the last decades.</p>

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Self-adjoint extensions of linear Hamiltonian differential systems and discrete symplectic systems: unified

  • Petr Zemánek

摘要

Linear relations associated with dynamic symplectic systems on an arbitrary time scale are introduced, and all self-adjoint extensions of the corresponding minimal linear relation are characterized. This provides a unification and significant extension to any time scale of analogous results for linear Hamiltonian differential systems and discrete symplectic systems published in the last decades.