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Bir Spektruma ve Normalleştirici Sayılara Göre Sturm-Liouville Operatörler için Ters (Inverse) Problem

Inverse Problem For Sturm-Liouville Operators According to A Spectrum and Normalizing

Journal Name:

  • Cumhuriyet Üniversitesi Fen Fakültesi Fen Bilimleri Dergisi

Publication Year:

  • 2003

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this article, for given of {kn }n>0 and {an }n>0 constructing a differential operator, which has a singularity, has explained. In order to accomplish this, {kn }n>0 and {an }n>0 have to some certain asymptotic. This kind of asymptotic formulae depend on the regularity order of the function q( x) . This connection can be seen in the solution of the inverse problem which depend on the sequences of {kn }n>0 and { n}n>0.
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Abstract (Original Language): 
Bu makalede, verilen {kn }n>0 ve {an }n>0 dizileri için singüleriteye sahip diferansiyel operatörün kuruluşu verilmiştir. Bunun için {kn }n>0 ve {an }n>0 dizileri bazı belli özelliklere sahip olmalıdır. Bu tip asimptotik formüller q(x) fonksiyonunun regülerlik mertebesine bağlıdır. Bu {kn }n>0 ve {an }n>0 dizilerine göre ters problemin çözümünden görülebilir.
FULL TEXT (PDF): 
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  • 1
34-50
  • Turkish

REFERENCES

References: 

[1] M.G. Gasimov and B.M. Levitan, About Sturm-Liouville differential operators, Math. Sborn., 63, (105), No.3, 1964.
[2] M.G. Gasimov, About an inverse problem for Sturm-Liouville equation, Dokl. Akad. Nauk. SSSR, vol.154, No.2, 1964.
[3] M.G. Gasimov and R.Kh. Amirov, Direct and inverse spectral problems for second order differential operators which has Coulomb singularity, Dokl. Akad. Nauk.Az., SSR, vol.41, No.8, 1-5, 1985.

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