Properties of the Fourth-Order Boundary Value Problem with Transmission Conditions

FAYDAOĞLU Ş.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.43, ss.2515-2522, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s40995-019-00732-2
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2515-2522
  • Anahtar Kelimeler: Impulsive initial boundary value problem, Transmission conditions, Eigenvalues, Eigenfunctions, PERIODIC-SOLUTIONS, EXPANSION, PENDULUM
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

We investigate the fourth-order eigenvalue problem with transmission conditions. We apply the Fourier method for solving of this problem arising in finding of transverse vibration of a string. We derive the eigenvalues and eigenfunctions of Sturm-Liouville problems and their properties. We obtain a solution of the considered equation subject to initial, boundary and transmission conditions at the point of discontinuity.