$q-$Hamiltonian systems

Authors: BİLENDER PAŞAOĞLU, HÜSEYİN TUNA

Abstract: In this paper, we develop the basic theory of linear $q-$ Hamiltonian systems. In this context, we establish an existence and uniqueness result. Regular spectral problems are studied. Later, we introduce the corresponding maximal and minimal operators for this system. Finally, we give a spectral resolution.

Keywords: Regular $q-$Hamiltonian system, maximal operator, minimal operator, boundary conditions, eigenfunction expansions

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