q−Hamiltonian systems
Bilender P. Allahverdiev, Hüseyin Tuna · TURKISH JOURNAL OF MATHEMATICS · 2020
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.