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Extensions of symmetric singular second-order dynamic operators on time scales

Allakhverdiev Bilender P. (Suleyman Demirel University, Department of Mathematics, Isparta, Turkey)

A space of boundary values is constructed for minimal symmetric singular second-order dynamic operators on semi-infinite and infinite time scales in limit-point and limit-circle cases. A description of all maximal dissipative, maximal accumulative, selfadjoint, and other extensions of such symmetric operators is given in terms of boundary conditions.

Keywords: symmetric singular second-order dynamic operator, space of boundary values, selfadjoint and nonselfadjoint extensions of a symmetric operator