Sturm Liouville Problem with Discontinuity Conditions at Several Points

Hıra F., Altınışık N.

1st International Conference on Analysis and Applied Mathematics (ICAAM), Gümüşhane, Türkiye, 18 - 21 Ekim 2012, cilt.1470, ss.126-129 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1470
  • Doi Numarası: 10.1063/1.4747656
  • Basıldığı Şehir: Gümüşhane
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.126-129
  • Anahtar Kelimeler: Discontinuous Sturm Liouville problem, Eigenvalue, Eigenfunction, Transmission condition, EIGENVALUE PARAMETER, BOUNDARY-CONDITIONS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper we deal with the computation of the eigenvalues of Sturm Liouville problem with several discontinuity conditions (transmission conditions) inside a finite interval and parameter dependent boundary condition. By using an operator theoretic interpretation we extend some classic results for regular Sturm Liouville problems. A symmetric linear operator A is defined in an appropriate Hilbert space such that the eigenvalues of such a problem coincide with those of A. Also, we obtained asymptotic formulaes for the eigenvalues and corresponding eigenfunctions.