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

### Abstract

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.

### Article Information

 Title On certain resolvent convergence of one non-local problem to a problem with spectral parameter in boundary condition Source Methods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 302-313 MathSciNet MR2469069 Copyright The Author(s) 2008 (CC BY-SA)

### Authors Information

E. V. Cheremnikh
Lviv Polytechnic National University, Lviv, Ukraine

### Citation Example

E. V. Cheremnikh, On certain resolvent convergence of one non-local problem to a problem with spectral parameter in boundary condition, Methods Funct. Anal. Topology 14 (2008), no. 4, 302-313.

### BibTex

@article {MFAT418,
AUTHOR = {Cheremnikh, E. V.},
TITLE = {On certain resolvent convergence of one non-local problem to a problem with spectral parameter in boundary condition},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {14},
YEAR = {2008},
NUMBER = {4},
PAGES = {302-313},
ISSN = {1029-3531},
MRNUMBER = {MR2469069},
URL = {http://mfat.imath.kiev.ua/article/?id=418},
}