Differential Operator Equations with Interface Conditions in Modified Direct Sum Spaces

Kadriye Aydemir, Hayati Olğar, Oktay Mukhtarov, Fahreddin Muhtarov


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
find asymptotic formulas for eigenvalues.

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