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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 ...
EXISTENCE OF POSITIVE SOLUTIONS TO FOURTH ORDER QUASILINEAR BOUNDARY VALUE PROBLEMS
fourth-order boundary value problem fixed point theorem positive solution
2007/12/11
In this paper, we generalize the fixed point theorem of cone expansion and compression of norm type to the theorem of functional type. As an application, the existence of positive solutions for some f...
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.