FUZZY EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER CONTAINED IN THE BOUNDARY CONDITION

CEYLAN T., Altınışık N.

JOURNAL OF SCIENCE AND ARTS, sa.3, ss.589-602, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.589-602
  • Anahtar Kelimeler: gH-derivative, Eigenvalue, Fuzzy eigenfunction, DIFFERENTIAL-EQUATIONS, HILBERT-SPACES
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this article two point fuzzy boundary value problems is defined under the approach generalized Hukuhara differentiability (gH-differentiability). The solution method of the fuzzy boundary value problem is examined with the aid of some initial value problems. This type of problem is associated with an operator in fuzzy Hilbert space. So, several theorems are given for the problem eigenvalues.