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On spectral properties of the fourth order differential operator with singular coefficients
spectral properties differential operator singular coefficients
2010/11/22
A formal fourth order differential operator with a singular coefficient that is a linear combination of the Dirac delta-function and its derivatives is considered. The asymptotic behavior of spectra ...
The Trace Formula for a Differential Operator of Fourth Order With Bounded Operator Coefficients and Two Terms
Hilbert Space Self-adjoint operator Kernel operator Spectrum Essential spectrum Resolvent
2010/2/26
We investigate the spectrum of a di erential operator of fourth order with
bounded operator coecients and nd a formula for the trace of this operator.