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On a Boundary-Value Problem for One Class of Differential Equations of the Fourth Order with Operator Coefficients
Boundary-Value Problem Operator Coefficients Fourth Order Functional Analysis
2011/9/20
Abstract: The boundary-value problem on semi-axis for one class operator-differential equations of the fourth order, the main part of which has the multiple characteristic is investigated in this pape...
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.
Formula for the Highly Regularized Trace of the Sturm-Liouville Operator with Unbounded Operator Coefficients Having Singularity
Highly Regularized Trace Sturm-Liouville Operator Coefficients Having Singularity
2010/3/1
In this work, a formula for the nth regularized trace of the Sturm-Liouville operator with unbounded operator coefficients having singularity is obtained.