Dependence of eigenvalues of some boundary value problems

Uğurlu E., TAŞ K.

Applied Mathematics E - Notes, cilt.21, ss.81-88, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21
  • Basım Tarihi: 2021
  • Dergi Adı: Applied Mathematics E - Notes
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.81-88
  • Uşak Üniversitesi Adresli: Evet

Özet

In this work we deal with a system of two first-order differential equations containing the same eigenvalue parameter. We consider some suitable separated real and complex coupled boundary conditions, and show that the eigenvalues generated by this system are continuous in an eigenvalue branch. Also we introduce the ordinary and Frechet derivatives of these eigenvalues with respect to some elements of the data.