Dissipative Dirac operator with general boundary conditions on time scales


UDC 517.9

In this paper, we consider the symmetric Dirac operator on bounded time scales. With general boundary conditions, we describe extensions (dissipative, accumulative, self-adjoint and the other) of such symmetric operators. We construct a self-adjoint dilation of dissipative operator. Hence, we determine the scattering matrix of dilation. Later, we construct a functional model of this operator and define its characteristic function. Finally, we prove that all root vectors of this operator are complete.


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How to Cite
AllahverdievB. P., and TunaH. “Dissipative Dirac Operator With General Boundary Conditions on Time Scales”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, no. 5, Apr. 2020, pp. 583–599, doi:10.37863/umzh.v72i5.546.
Research articles