On multi-interval boundary value problems for differential equations with distribution coefficients

Abstract

The paper studies the multi-interval boundary value problems of Shr\"{o}dinger type with distributional potentials. For the corresponding symmetric operators boundary triplets are found and constructive descriptions of all self-adjoint, maximal dissipative and maximal accumulative extensions and generalized resolvents in terms of homogeneous boundary conditions are given. Real extensions and extensions given by local boundary conditions are described as well.