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, Turkey, 10 - 13 May 2023, pp.56

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.56
  • Yıldız Technical University Affiliated: Yes

Abstract

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.