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.

Full Text

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},
}