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On the basisness in L2(0, 1) of the root functions in not strongly regular boundary value problems

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2008

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In the present article we consider the non-self adjoint Sturm-Liouville operators with periodic and anti-periodic boundary conditions which are not strongly regular. We obtain the asymptotic formulas for eigenvalues and eigenfunctions of these boundary value problems, when the potential q(x) is a complexvalued function. Then using these asymptotic formulas, the Riesz basisness in L2(0, 1) of the root functions are proved.
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  • 2
51-60
  • English

REFERENCES

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