Differential Operator Equations with Interface Conditions in Modified Direct Sum Spaces

作者：Aydemir Kadriye; Olgar Hayati; Mukhtarov Oktay Sh; Muhtarov Fahreddin

来源：Filomat, 2018, 32(3): 921-931.

DOI：10.2298/FIL1803921A

• Sturm-Liouville problem
• eigenvalues
• abstract linear operator

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.

• 出版日期2018