q−Hamiltonian systems
Copyright policy )q−Hamiltonian systems
Summary: 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.
Linear symmetric and selfadjoint operators (unbounded), regular \(q\)-Hamiltonian system, Green's functions for ordinary differential equations, \(q\)-calculus and related topics, minimal operator, Difference equations, scaling (\(q\)-differences), boundary conditions, Difference operators, eigenfunction, maximal operator, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
Linear symmetric and selfadjoint operators (unbounded), regular \(q\)-Hamiltonian system, Green's functions for ordinary differential equations, \(q\)-calculus and related topics, minimal operator, Difference equations, scaling (\(q\)-differences), boundary conditions, Difference operators, eigenfunction, maximal operator, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
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