Bahçeşehir Üniversitesi Analiz ve Uygulamalı Matematik Seminerleri
On some spectral questions of fourth order differential operators with operator coefficient
Nigar Aslanova
Azerbaijan University of Architecture and Construction, Baku, Azerbaijan, Azerbaycan
We give descriptions of extensions with exit from space for minimal operator associated with boundary value problems for fourth-order differential equations with unbounded operator coefficients. Also, eigenvalue asymptotics is established. We prove one important relationship between characteristic determinants and norming constants, which is applied to the calculation of regularized trace for one self-adjoint extension of minimal operator.
