FUZZY EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER CONTAINED IN THE BOUNDARY CONDITION

CEYLAN T., Altınışık N.

JOURNAL OF SCIENCE AND ARTS, no.3, pp.589-602, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2018
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.589-602
  • Keywords: gH-derivative, Eigenvalue, Fuzzy eigenfunction, DIFFERENTIAL-EQUATIONS, HILBERT-SPACES
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.