Abstract
The asymptotic eigenvalue distribution of Sturm–Liouville problem with operator coefficient and eigenvalue dependent boundary condition and with singularity on finite segment is studied. Also formula of the regularized trace of respective operator is obtained.
Received: 2009-06-06
Revised: 2011-01-12
Published Online: 2011-05-31
Published in Print: 2011-May
© de Gruyter 2011
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Keywords for this article
Hilbert space;
discrete spectrum;
resolvent;
regularized trace
Articles in the same Issue
- The orthogonal complement relative to the functor extension of the class of all Gorenstein flat modules
- D'Alembert's functional equations on hypergroups
- Lax's difference scheme for a system of two equations in the quarter plane
- On a measure induced by a quadratic differential
- Boundary value problems in a fan-shaped domain
- Cauchy–Pompeiu representations for higher order elliptic equations in the unit ball
- Existence results for a mixed boundary value problem with Sturm–Liouville equation
- On solutions of a nonlinear wave equation derived from brain activity modeling
- On the existence of nonoscillatory solutions of third-order nonlinear differential equations
- About a class of n-order elliptic systems in the plane with a singular line and Fuchs operator in the differential part
- Discretization error of wavelet coefficient for fractal like processes
- On asymptotic eigenvalue distribution and trace formula of second order operator-differential equation