Inverse nodal problems for singular diffusion equation

Amirov R., DURAK S.

Mathematical Methods in the Applied Sciences, cilt.47, sa.11, ss.9067-9083, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 11
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1002/mma.10060
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.9067-9083
  • Anahtar Kelimeler: inverse nodal problems, inverse spectral problems, singular diffusion equation
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study, some properties of the pencils of singular Sturm–Liouville operators are investigated. Firstly, the behaviors of eigenvalues and eigenfunctions is learned, then for each discontinuity point (Formula presented.) a solution of the inverse problem is given to determine the potential function and parameters (Formula presented.), and (Formula presented.) with the help of a dense set of nodes. And finally, a constructive method is given for solving the given inverse problem.