The Inverse Strum-Liouville Problem With One Of The Boundary Conditions Including Eigenvalue

Kızılbudak Çalışkan S., Kılıç A.

International Hybrid Conference on Mathematical Development and Applications (ICOMAA-23), İstanbul, Türkiye, 10 - 13 Mayıs 2023, ss.56

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.56
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Spectral analysis of differential operators has an important place in applied sciences and especially in some physics problems. Spectral analysis is studied under two headings: straight problems and inverse problems. In our study, we considered the Inverse Sturm-Liouville Problem. Based on the spectral properties of the Sturm-Liouville Problem with an eigenvalue in one of the boundary conditions we have considered, we have obtained the necessary and sufficient conditions for the potential function “q” in our equation and its solvability by using the eigenvalue sequences and norm constants of all the parameters in our boundary conditions.