E. V. Cheremnikh

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Articles: 4

On certain resolvent convergence of one non-local problem to a problem with spectral parameter in boundary condition

E. V. Cheremnikh

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 14 (2008), no. 4, 302-313

A family of non-local problems with the same finite point spectrum is given. The resolvent convergence on a dense linear subspace which gives a problem with spectral parameter in the boundary condition is considered. The spectral eigenvalue decomposition of the last problem on the half line for Sturm-Liouville operator with trivial potential is given.

On rank one perturbation of continuous spectrum which generates given finite point spectrum

F. Diaba, E. Cheremnikh

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 14 (2008), no. 1, 20-31

The perturbations of Nevanlinna type functions which preserve the set of zeros of this function or add to this set new points are discussed.

On the point spectrum of transport operator

E. Cheremnikh, F. Diaba

Methods Funct. Anal. Topology 11 (2005), no. 1, 21-36

On normal eigenvalue imbedded in continuous spectrum

E. V. Cheremnikh

Methods Funct. Anal. Topology 7 (2001), no. 1, 1-16


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