Differential operator equations with interface conditions in modified direct sum spaces
Kadriye Aydemir, Hayati Olğar, Oktay Sh. Mukhtarov, Fahreddin S. Muhtarov · Filomat · 2018
We investigate a new type boundary value problem consisting of a differential-operator equation, eigendependent boundary conditions, and two supplementary conditions so-called interface conditions. We give a characterisation of some spectral properties of the considered problem. Particularly, it is established such properties as isomorphism and coerciveness, discreteness of the spectrum and found asymptotic formulas for eigenvalues.